{"title":"Picture Fuzzy Knowledge Measure with Application to MADM","authors":"Devender Kumar Sharma, Koushal Singh, Surender Singh","doi":"10.33889/ijmems.2023.8.4.038","DOIUrl":"https://doi.org/10.33889/ijmems.2023.8.4.038","url":null,"abstract":"The complementary dual of entropy is termed “knowledge measure” in recent studies concerning fuzzy and intuitionistic fuzzy sets. A picture fuzzy set is an extended and generalized form of fuzzy and intuitionistic fuzzy sets. The broader perspective of the picture fuzzy set inculcated the possibility of the formulation of a picture fuzzy knowledge measure and its potential implications. In this paper, we set up an axiomatic framework for obtaining a complementary dual of the picture fuzzy entropy. Subsequently, we derive two new knowledge measures that strictly follow the axiomatic requirements. Some empirical investigations establish the advantages of our proposed knowledge measure over the existing measures. We also present a novel multiple attribute decision-making (MADM) algorithm, wherein the proposed knowledge measure computes attribute weights and exhibits encouraging performance. The comparative analysis shows the potential implications and advantages of the proposed measures.","PeriodicalId":44185,"journal":{"name":"International Journal of Mathematical Engineering and Management Sciences","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45003219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Probabilistic Audit in a Revenue Sharing Contract Under Asymmetric Demand Information","authors":"J. Bhattacharyya, R. Marathe, G. Srinivasan","doi":"10.33889/ijmems.2023.8.4.037","DOIUrl":"https://doi.org/10.33889/ijmems.2023.8.4.037","url":null,"abstract":"A two-echelon supply chain comprising a supplier and a retailer, coordinated by a revenue-sharing contract has been studied. The supplier knows the realized demand only from a sales report submitted by the retailer at the end of each decision period. Possession of private information about the market demand allows the retailer to under-report sales. To protect revenue loss from this under-reporting, the supplier uses audit probabilistically to check the retailer’s dishonesty. Unlike designing a mechanism for the supplier to elicit private information from the retailer, which has been predominantly discussed in the literature, this study proposes a policy where the players can improve their expected profit compared to what they would have earned when the retailer had to reveal truthful information. Our study finds that the supplier benefits from the retailer’s dishonesty, provided dishonesty is limited with the help of a probabilistic audit process. Both players' expected profits are higher in our proposed policy than what they would earn under a truth-inducing policy. These findings suggest that future studies focus on achieving social welfare instead of concentrating only on truth-inducing mechanisms. A numerical analysis of the optimization problem is performed to find the optimal audit probability. Our results will help a manager in a supplying firm design a revenue-sharing contract when she cannot observe her retailer’s revenue without an audit.","PeriodicalId":44185,"journal":{"name":"International Journal of Mathematical Engineering and Management Sciences","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69510717","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Does Productivity Really Matter for Profitability? Evidence from a Publicly Owned Transport Corporation","authors":"S. Singh, Vijay Singh","doi":"10.33889/ijmems.2023.8.4.033","DOIUrl":"https://doi.org/10.33889/ijmems.2023.8.4.033","url":null,"abstract":"For many years now, a variety of studies have proven the strong relationship between productivity and profitability. However, simply earning a profit does not necessarily mean that the firm is productive. Many highly productive firms face financial losses, whereas less productive ones’ experience significant profits. This paper examines the dynamics of how productivity really matters for profitability. The paper uses a non-parametric index number approach to estimate the productivity, profitability, and price performance of a publicly owned, once world’s largest, bus transport corporation operating in the Indian state of Andhra Pradesh to examine these dynamics. The paper finds that when public organizations are constrained from raising the prices of their services, productivity gains may not be adequate to counterbalance the impact of rising prices of major inputs. Moreover, loss-making organizations, even if they are publicly owned, would find it hard to improve both the quality and quantity of their services.","PeriodicalId":44185,"journal":{"name":"International Journal of Mathematical Engineering and Management Sciences","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41404488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamic Analysis and Control of Redundant Manipulator for Agricultural Applications in a Virtual Environment","authors":"A. Reddy, V. V. M. J. S. Chembuly, V. Rao","doi":"10.33889/ijmems.2023.8.4.041","DOIUrl":"https://doi.org/10.33889/ijmems.2023.8.4.041","url":null,"abstract":"In the development of automated manipulators for fruit and vegetable picking technologies, the challenge of ensuring an efficient, stable, and loss-free picking process has been a complex problem. In such an environment, manipulators require the most efficient and robust control for effective operations. In this paper, a serial 9-DOF redundant manipulator (1P8R) is proposed with various controllers for trajectory tracking problems in agricultural applications. The dynamic analysis of redundant manipulator has been carried out using the Recursive Newton-Euler method. The joint configurations of the robot are determined using optimization techniques for specific Task Space Locations (TSLs) by avoiding obstacles. The process of generating joint trajectories has been implemented by considering the cubic polynomial function. For the task of controlling the robot trajectory tracking in the virtual agricultural environment, different combinations of Proportional (P), Integrative (I), Derivative (D), and Feed-Forward (FF) controllers are employed, and a comparative analysis has been performed among these controllers. To verify the performance of the manipulator, simulations are carried out in a virtual environment using Simulink software. Results show that the robot is able to reach specific TSL accurately with better control and it is found that the implementation of Feed-Forward and PID-CTC controllers has better performance in a complex environment.","PeriodicalId":44185,"journal":{"name":"International Journal of Mathematical Engineering and Management Sciences","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42155888","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"System-Level Dependability Analysis of Bitcoin under Eclipse and 51% Attacks","authors":"Chencheng Zhou, L. Xing, Qisi Liu, Yuzhu Li","doi":"10.33889/ijmems.2023.8.4.031","DOIUrl":"https://doi.org/10.33889/ijmems.2023.8.4.031","url":null,"abstract":"Bitcoin is an electronic cryptocurrency developed based on Blockchain technology. With its decentralized feature, it has become incredibly popular since its invention. However, the Bitcoin network suffers from 51% attacks, where if malicious attackers’ control over half of the computing power, they are able to rewrite the network. The attackers are capable of doing so by initiating the Eclipse attack first, which aims to monopolize all communications from and to a controlled Bitcoin node. In this paper, we model and analyze the dependability of the Bitcoin network subject to the Eclipse and 51% attacks. We propose a hierarchical model that encompasses a continuous-time Markov chain method for the node-level dependability analysis and a multi-valued decision diagram method for the system-level dependability analysis. Detailed case studies on Bitcoin systems with homogeneous and heterogeneous nodes are conducted to demonstrate the proposed model and investigate the impacts of several critical parameters on Bitcoin network dependability.","PeriodicalId":44185,"journal":{"name":"International Journal of Mathematical Engineering and Management Sciences","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42727536","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Performance Analysis of a Retrial Queueing System with Optional Service, Unreliable Server, Balking and Feedback","authors":"V. Saravanan, V. Poongothai, P. Godhandaraman","doi":"10.33889/ijmems.2023.8.4.044","DOIUrl":"https://doi.org/10.33889/ijmems.2023.8.4.044","url":null,"abstract":"This paper considers a Markovian retrial queueing system with an optional service, unreliable server, balking and feedback. An arriving customer can avail of immediate service if the server is free. If the potential customer encounters a busy server, it may either join the orbit or balk the system. The customers may retry their request for service from the orbit after a random amount of time. Each customer gets the First Essential Service (FES). After the completion of FES, the customers may seek the Second Optional Service (SOS) or leave the system. In the event of unforeseen circumstances, the server may encounter a breakdown, at which point an immediate repair process will be initiated. After the service completion, the customer may leave the system or re-join the orbit if not satisfied and demand regular service as feedback. In this investigation, the stationary queue size distributions are framed using a recursive approach. Various system performance measures are derived. The effects induced by the system parameters on the performance metrics are numerically and graphically analysed.","PeriodicalId":44185,"journal":{"name":"International Journal of Mathematical Engineering and Management Sciences","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48747752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Approximation of the Time-Fractional Klein-Gordon Equation using the Integral and Projected Differential Transform Methods","authors":"Manoj K. Singh","doi":"10.33889/ijmems.2023.8.4.039","DOIUrl":"https://doi.org/10.33889/ijmems.2023.8.4.039","url":null,"abstract":"In the present investigation, a new integral transform method (NITM) and the projected differential transform method (PDTM) are used to give an analytical solution to the time-fractional Klein-Gordon (TFKG) equation. The time-fractional derivative is used in the Caputo sense. The huge advantage of the suggested approach is the ease with which the nonlinear term can be effortlessly treated by projected differential transform without using Adomian's and He's polynomials. The solution of fractional partial differential equations using the aforementioned method is very simple and straightforward. The efficiency and accuracy of the proposed method are demonstrated by three examples, and the effects of various fractional Brownian motions are demonstrated graphically.","PeriodicalId":44185,"journal":{"name":"International Journal of Mathematical Engineering and Management Sciences","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47835685","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Enhancement in Single-Image Dehazing Employing Contrastive Attention over Variational Auto-Encoder (CA-VAE) Method","authors":"Sandeep Vishwakarma, Anuradha Pillai, Deepika Punj","doi":"10.33889/ijmems.2023.8.4.042","DOIUrl":"https://doi.org/10.33889/ijmems.2023.8.4.042","url":null,"abstract":"Hazy images and videos have low contrast and poor visibility. Fog, ice fog, steam fog, smoke, volcanic ash, dust, and snow are all terrible conditions for capturing images and worsening color and contrast. Computer vision applications often fail due to image degradation. Hazy images and videos with skewed color contrasts and low visibility affect photometric analysis, object identification, and target tracking. Computer programs can classify and comprehend images using image haze reduction algorithms. Image dehazing now uses deep learning approaches. The observed negative correlation between depth and the difference between the hazy image’s maximum and lowest color channels inspired the suggested study. Using a contrasting attention mechanism spanning sub-pixels and blocks, we offer a unique attention method to create high-quality, haze-free pictures. The L*a*b* color model has been proposed as an effective color space for dehazing images. A variational auto-encoder-based dehazing network may also be utilized for training since it compresses and attempts to reconstruct input images. Estimating hundreds of image-impacting characteristics may be necessary. In a variational auto-encoder, fuzzy input images are directly given a Gaussian probability distribution, and the variational auto-encoder estimates the distribution parameters. A quantitative and qualitative study of the RESIDE dataset will show the suggested method's accuracy and resilience. RESIDE’s subsets of synthetic and real-world single-image dehazing examples are utilized for training and assessment. Enhance the structural similarity index measure (SSIM) and peak signal-to-noise ratio metrics (PSNR).","PeriodicalId":44185,"journal":{"name":"International Journal of Mathematical Engineering and Management Sciences","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47577112","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Barriers to Cement Industry Towards Circular Economy","authors":"Erhan Ada, Y. Kazançoğlu, S. Mangla, U. Aydın","doi":"10.33889/ijmems.2023.8.4.035","DOIUrl":"https://doi.org/10.33889/ijmems.2023.8.4.035","url":null,"abstract":"Cement, as the main component of concrete, is a crucial industrial product for economic development and civilization. Nevertheless, its production is highly energy-intensive, environmentally polluting, and a source of extreme CO2 emissions. For success in the transition to the circular economy and accelerating sustainable manufacturing in the cement industry, understanding and addressing the main barriers are essential. Using the above point of view, this study intends to address the challenges and barriers of the cement industry in the transition to a circular economy, define the causal relationships between these barriers, and determine the necessary practical implications to overcome the barriers. Systematic literature review and focus group study results enable a holistic model that integrates research results and business practical criteria. The DEMATEL method is used for the clarification of causal relations between factors. A total of 18 barriers in 6 clusters have been revealed to be used for managerial implications to speed up the transition to CE applications in the cement business. Out of 18 barriers, 6 were effect groups, which were the outcomes due to the remaining 12 causing barriers. The top three cause factors are an unstable waste market, lack of management competencies, and unstable macroeconomic conditions, while the leading three effect factors are revealed as giving priority to other issues, insufficient organisational structures, and deviations in product quality. Although there are many studies on CE in cement, they are concentrated on technical and laboratory studies enabling the use of different alternative materials as inputs to the cement process. Studying and revealing the barriers holding back the cement sector in the transition to CE is this study’s core contribution, making it novel and unique.","PeriodicalId":44185,"journal":{"name":"International Journal of Mathematical Engineering and Management Sciences","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43134227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamic Advertising-based Goodwill Incorporating Fuzzy Environment in Segment-Specific Market","authors":"Pradeep Kumar, Kuldeep Chaudhary, Vijay Kumar, Vijay Singh","doi":"10.33889/ijmems.2023.8.4.040","DOIUrl":"https://doi.org/10.33889/ijmems.2023.8.4.040","url":null,"abstract":"A new product's introduction to the market is greatly influenced by effective and enough advertising. In this paper, we have considered a problem in which the firm partitions the market into various segments to reduce costs associated with advertising and targets to maximize the total profit. By integrating single channel and differentiated advertising to segmented market, we extend Nerlove-goodwill Arrow's dynamic model in which advertising variables are control variables. It is assumed that the whole available budget is imprecise and fuzzy in nature in order to create a realistic model. Using necessity and possibility constraints, the optimal control model with fuzzy parameters is transformed into crisp form, and the Pontryagin Maximum principle is then used to solve the problem. Numerical examples are provided to support the theoretical analysis.","PeriodicalId":44185,"journal":{"name":"International Journal of Mathematical Engineering and Management Sciences","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46810935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}