S. Sudha, Nivetha Martin, M. Clement Joe .., P. G. Palanimani, T. Thirunamakkani, B. Ranjitha
{"title":"MACBETH-MAIRCA Plithogenic Decision-Making on Feasible Strategies of Extended Producer's Responsibility towards Environmental Sustainability","authors":"S. Sudha, Nivetha Martin, M. Clement Joe .., P. G. Palanimani, T. Thirunamakkani, B. Ranjitha","doi":"10.54216/ijns.220210","DOIUrl":"https://doi.org/10.54216/ijns.220210","url":null,"abstract":"The environmental disarray caused by plastic usage alarms the world leaders to join hands in making coordinated efforts in creating a green globe to support environment for the future generation. The responsibility of promoting environmental sustainability is not confined to government alone as all the producer companies have equal share in mitigating the plastic waste. One of the ideal strategies of environmental conservation practiced by many of the nations at recent times is extended producer’s responsibility (EPR). This research work purposes in building a multi-criteria decision-making model integrating the methods of MACBETH (Measuring attractiveness through a categorical-based evaluation technique) and MAIRCA (Multi Attributive Ideal-Real Comparative Analysis) in plithogenic environment to make optimal decisions on the plastic recycling methods subjected to four core criteria in EPR context. The efficiency of the newly developed integrated model is determined by comparing the model with other models integrating MAIRCA with the methods of CRITIC (CRiteria Importance Through Intercriteria Correlation) FUCOM (Full Consistency Method). The sensitivity analysis helps in listing the merits and limitations of the proposed integrated model and also the consistency of the criterion weights and the ranking of the alternatives are checked.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135913216","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":"The Symbolic Plithogenic Complex Numbers","authors":"Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah","doi":"10.54216/ijns.220211","DOIUrl":"https://doi.org/10.54216/ijns.220211","url":null,"abstract":"In this paper, we presented symbolic plithogenic complex numbers, and studied the arithmetic operations: addition, subtraction, multiplication and division. Also, we defined the conjugate, inverted and the absolute value of symbolic plithogenic complex numbers, the theories related to the conjugate of symbolic plithogenic complex numbers are proved.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"151 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135007706","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}
Yousef Al Al-Qudah, Faisal Al Al-Sharqi, Muthanna Mishlish, Maha M. Rasheed
{"title":"Hybrid integrated decision-making algorithm based on AO of possibility interval-valued neutrosophic soft settings","authors":"Yousef Al Al-Qudah, Faisal Al Al-Sharqi, Muthanna Mishlish, Maha M. Rasheed","doi":"10.54216/ijns.220306","DOIUrl":"https://doi.org/10.54216/ijns.220306","url":null,"abstract":"The idea of interval-valued neutrosophic soft sets (IVNSSs) is a new generalization of the neutrosophic soft sets to the neutrosophic sets when the authors combine the critical features of IVNS and soft sets (SSs) in one model. Accordingly, this model worked to provide decision-makers with more flexibility in the process of interpreting uncertain information. From a scientific point of view, the process of evaluating this highperformance IVNSS disappears. Therefore, in this paper, we initiated a new approach known as possibility interval-valued neutrosophic soft sets (PIVNSSs) as a new development in a fuzzy soft computing environment. We investigate some fundamental operations on PIVNSSs along with their basic properties. Also, we investigate AND and OR operations between two PIVNSSs as well as several numerical examples to clarify the above fundamental operations. Finally, we have given aggregation operators (AO) to construct a new algorithm that is used to demonstrate the effectiveness of the method in handling some real-life applications.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135052608","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}
Abuobida M. A. Alfahal, Mohammad Abobala, Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah
{"title":"Generating Weak Fuzzy Complex and Anti Weak Fuzzy Complex Integer Solutions for Pythagoras Diophantine Equation 𝑿𝟐 + 𝒀𝟐 = 𝒁𝟐","authors":"Abuobida M. A. Alfahal, Mohammad Abobala, Yaser Ahmad Alhasan, Raja Abdullah Abdulfatah","doi":"10.54216/ijns.220201","DOIUrl":"https://doi.org/10.54216/ijns.220201","url":null,"abstract":"In this paper, we find necessary and sufficient conditions for a weak fuzzy complex integer triple (X,Y, Z) to be a pythagoras triple, and for an anti-weak fuzzy complex integer triple to be a Pythagoras triple (X,Y, Z), where we prove that the non-linear Fermat's Diophantine equation has three different types of solutions according to the value of . All types will be solved and discussed in terms of theorems and examples that explains how the algorithms work","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135653640","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":"A Note on Invertible Neutrosophic Square Matrices","authors":"P. Prabakaran, Gustavo Alvarez G� G´omez, Rita Azucena Diaz Vasquez, Andr´es Le´on Yacelga","doi":"10.54216/ijns.220405","DOIUrl":"https://doi.org/10.54216/ijns.220405","url":null,"abstract":"The purpose of this article is to study the adjoint and inverse of neutrosophic matrices, where the inverse of a neutrosophic square matrix is defined and studied in terms of neutrosophic determinant and neutrosophic adjoint. It is shown by examples that, the converse part of the result “M is invertible if and only if detM ̸= 0” is not true, proved by Mohammad Abobala et al. in.2 Also some of the properties of neutrosophic adjoint are discussed.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134887765","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}
Walter C. Toapanta, Jorge Lenín A. Espinoza, Silvio M. Vivar, Tania L. Vizcaíno C� Cárdenas
{"title":"On Some Results About The n-Potent Fuzzy Groups and Anti-Fuzzy Groups","authors":"Walter C. Toapanta, Jorge Lenín A. Espinoza, Silvio M. Vivar, Tania L. Vizcaíno C� Cárdenas","doi":"10.54216/ijns.220409","DOIUrl":"https://doi.org/10.54216/ijns.220409","url":null,"abstract":"In this paper, we have studied for the first time the concept of n-potent fuzzy groups and n-potent anti-fuzzy groups. Many related properties will be proved such as the intersection of n-potent fuzzy groups, the product of n-potent anti-fuzzy groups, and the factor groups formed by these structures.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135504842","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":"Fuzzy Logic Used to Solve ODEs of Second Order Under Neutrosophic Initial Conditions","authors":"Sahar M. Jabbar, Azal Mera, Ameera N. Alkiffai","doi":"10.54216/ijns.230104","DOIUrl":"https://doi.org/10.54216/ijns.230104","url":null,"abstract":"The Mohand transform method, which has the benefit of unit preservation property over the well-established Laplace transform method, is used in this study to solve the ordinary differential equation of second order with neutrosophic numbers as initial conditions. Moreover, the solution obtained at different –cut .","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"117 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135703798","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}
Mamika Ujianita Romdhini, Ashraf Al Al-Quran, Faisal Al Al-Sharqi, Hazwani Hashim, Abdalwali Lutfi
{"title":"Unveiling an Innovative Approach to Q-Complex Neutrosophic Soft Rings","authors":"Mamika Ujianita Romdhini, Ashraf Al Al-Quran, Faisal Al Al-Sharqi, Hazwani Hashim, Abdalwali Lutfi","doi":"10.54216/ijns.220402","DOIUrl":"https://doi.org/10.54216/ijns.220402","url":null,"abstract":"In this paper, our aim is to investigate the algebraic structures within the Q-complex neutrosophic soft model. We introduce two fundamental concepts: the Q-complex neutrosophic soft ring (Q-CNSR) and the Q-complex neutrosophic soft ideal (Q-CNSI). Q-CNSRs combine the properties of Q-complex neutrosophic soft sets (Q-CNSSs) with ring theory, effectively capturing uncertainty and indeterminacy present in ring operations through the incorporation of Q-complex neutrosophic membership values. Additionally, we define Q-CNSIs as subsets of Q-CNSRs that possess distinctive properties and hold significant roles in ring theory. Furthermore, we discuss and verify the specific algebraic properties of Q-CNSR and Q-CNSI. By examining these properties, we gain a deeper understanding of the algebraic behavior of Q-CNSR and Q-CNSI. In particular, we shed light on the relationship between Q-CNSRs and soft rings. This provides insights into how Q-CNSR relates to the broader framework of soft ring, highlighting the unique features and contributions of Q-complex neutrosophic soft structures in the realm of algebraic analysis. We have also verified the relations between Q-CNSR and Q-neutrosophic soft ring (Q-NSR), as well as between Q-CNSI and Q-neutrosophic soft ideal (Q-NSI). Through this comprehensive exploration, our objective is to advance the understanding of Q-CNSR and Q-CNSI, thereby contributing to the field of algebraic analysis and its application in handling uncertainty and vagueness.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"265 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134887763","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}
A. Priya, P. Maragatha Meenakshi, Aiyared Iampan, N. Rajesh, Suganthi Mariyappan
{"title":"Selection of neutral networks using q-rung neutrosophic vague soft set TOPSIS aggregating operator setting multi-criteria group decision making","authors":"A. Priya, P. Maragatha Meenakshi, Aiyared Iampan, N. Rajesh, Suganthi Mariyappan","doi":"10.54216/ijns.220406","DOIUrl":"https://doi.org/10.54216/ijns.220406","url":null,"abstract":"The q-rung neutrosophic vague soft set (q-rung NVSS) is a generalization of the neutrosophic vague soft set (NVSS) and the vague soft set (VSS). The TOPSIS aggregated operation (AO) was used to discuss the q-rung NVSS. As an extension of VSS, the TOPSIS method effectively makes multi-criteria group decision making (MCGDM). With a score function, the goal is to find a positive and negative ideal solution based on q-rung NVSS. Closeness values are determined by presenting optimal alternatives. We provide practical examples to support our conclusions. This results in the outcome of the models for which q is provided. Considering the validity and usefulness of the models under consideration can be achieved by comparing them with those that have been proposed. Recent discoveries have generated quite a bit of interest and fascination.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134887900","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":"On Symbolic 7-Plithogenic and 8-Plithogenic Number Theoretical Concepts","authors":"Luis Albarracín Zambrano, Fabricio Lozada Torres, Bolívar Villalta Jadan, Nabil Khuder Salman","doi":"10.54216/ijns.220404","DOIUrl":"https://doi.org/10.54216/ijns.220404","url":null,"abstract":"This paper is dedicated to studying the foundations of 7-plithogenic and 8-plithogenic number theory, where the central concepts about symbolic 7-plithogenic8-plithogenic integers will be discussed such as symbolic 7-plithogenic8-plithogenic Pythagoras triples and quadruples, symbolic 7-plithogenic8-plithogenic linear Diophantine equations, and the divisors. On the other hand, we prove that Euler's theorem is still true in the case of the symbolic 7-plithogenic8-pithogenic number theory.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134888025","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}