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Normal Bipolar Soft Subgroups 正常双极软子组
IF 1.2
Fuzzy Information and Engineering Pub Date : 2021-01-02 DOI: 10.1080/16168658.2021.1915453
Faruk Karaaslan, A. Ullah, Imtiaz Ahmad
{"title":"Normal Bipolar Soft Subgroups","authors":"Faruk Karaaslan, A. Ullah, Imtiaz Ahmad","doi":"10.1080/16168658.2021.1915453","DOIUrl":"https://doi.org/10.1080/16168658.2021.1915453","url":null,"abstract":"In this study, we introduce the concept of normal bipolar soft subgroup and investigate some properties of normal bipolar soft subgroups. We also define notions of bipolar soft left and right cosets of a bipolar soft group and the concept of conjugate bipolar soft subgroup, and obtain some of their properties.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"8 1","pages":"79 - 98"},"PeriodicalIF":1.2,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78558474","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}
引用次数: 1
On Soft Lattice Topological Spaces 关于软点阵拓扑空间
IF 1.2
Fuzzy Information and Engineering Pub Date : 2021-01-02 DOI: 10.1080/16168658.2021.1929744
Sandhya S. Pai, T. Baiju
{"title":"On Soft Lattice Topological Spaces","authors":"Sandhya S. Pai, T. Baiju","doi":"10.1080/16168658.2021.1929744","DOIUrl":"https://doi.org/10.1080/16168658.2021.1929744","url":null,"abstract":"In this paper, we introduce Soft Lattice topological spaces which are defined over a soft lattice L with a fixed set of parameter P and it is also a generalisation of soft topological spaces. The notion of soft L-open sets, soft L-closed sets, soft L-closure, soft L-interior point and soft L-neighbourhood are introduced. Further some basic properties of Soft L-Topology are also investigated.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"11 1","pages":"1 - 16"},"PeriodicalIF":1.2,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81125197","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}
引用次数: 2
Characterisation of p-ideals in Hemirings on the Basis of Hemiregularity, Prime and Normal Fuzzy Ideals 基于半正则、素数和正规模糊理想的半模糊中p理想的刻画
IF 1.2
Fuzzy Information and Engineering Pub Date : 2021-01-02 DOI: 10.1080/16168658.2021.1915569
M. Touqeer, Atiqa Maryam, Muhammad Saeed
{"title":"Characterisation of p-ideals in Hemirings on the Basis of Hemiregularity, Prime and Normal Fuzzy Ideals","authors":"M. Touqeer, Atiqa Maryam, Muhammad Saeed","doi":"10.1080/16168658.2021.1915569","DOIUrl":"https://doi.org/10.1080/16168658.2021.1915569","url":null,"abstract":"In p-hemiregular hemirings, some properties of ‘prime fuzzy p-ideals’ are examined. In the case of fuzzy p-ideal, p-hemiregular hemiring is also characterised. It is showed that in the case of hemiring , fuzzy subset φ is a ‘prime fuzzy left p-ideal’ in if and only if φ is having two values, set having all values of i?> in so that φ(p) equals to one is a ‘prime left(right) p-ideal’ in , φ(0) = 1. In hemirings for ‘maximal fuzzy left(right) p-ideals’, some related properties are also studied.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"7 1","pages":"99 - 110"},"PeriodicalIF":1.2,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84205196","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}
引用次数: 0
Total and Secure Domination for Corona Product of Two Fuzzy Soft Graphs 两个模糊软图的电晕积的完全和安全支配
IF 1.2
Fuzzy Information and Engineering Pub Date : 2021-01-02 DOI: 10.1080/16168658.2021.1915456
A. Karbasioun, R. Ameri
{"title":"Total and Secure Domination for Corona Product of Two Fuzzy Soft Graphs","authors":"A. Karbasioun, R. Ameri","doi":"10.1080/16168658.2021.1915456","DOIUrl":"https://doi.org/10.1080/16168658.2021.1915456","url":null,"abstract":"Fuzzy sets and soft sets are two different soft computing models for representing vagueness and uncertainty. On the other domination is a rapidly developing area of research in graph theory, and its various applications to ad hoc networks, distributed computing, social networks and web graphs partly explain the increased interest. This concept was introduced by [Benecke S, Cockayne EJ, Mynhardt CM. Secure total domination in graphs. Util Math. 2007;74:247–259.] in 2007 and Go and Canoy continue the study of these notions [Canoy RS, Go CE. Domination in the corona and join of graphs. Int Math Forum. 2011;6(16):763–771.] and afterward introduce total dominating and secure total dominating sets. Also graph operations like corona product play a very important role in mathematical chemistry, since some chemically interesting graphs can be obtained from some simpler graphs by different graph operations. In this paper, we characterised the dominating, total dominating, and secure total dominating sets in the corona of two fuzzy soft connected.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"27 1","pages":"127 - 138"},"PeriodicalIF":1.2,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84290773","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}
引用次数: 1
A Profit Maximisation Solid Transportation Problem Using Genetic Algorithm in Fuzzy Environment 模糊环境下基于遗传算法的利润最大化固体运输问题
IF 1.2
Fuzzy Information and Engineering Pub Date : 2021-01-02 DOI: 10.1080/16168658.2021.1915454
S. Samanta, A. Ojha, B. Das, S. Mondal
{"title":"A Profit Maximisation Solid Transportation Problem Using Genetic Algorithm in Fuzzy Environment","authors":"S. Samanta, A. Ojha, B. Das, S. Mondal","doi":"10.1080/16168658.2021.1915454","DOIUrl":"https://doi.org/10.1080/16168658.2021.1915454","url":null,"abstract":"In this paper, a solid transportation problem has been considered in which the transportation is accomplished in two stages – firstly, from the origin(s) to the near by station(s) of the destination(s) and secondly, from the near by station(s) to the exact destination(s). Here, a fuzzy AUD (all unit discount) policy has been introduced based upon the amount of transportation along with a fuzzy fixed charge. In addition, a budget constraint has been incorporated taking fuzzy unit transportation cost. Then the proposed model has been converted into a single objective optimisation problem using interval arithmetic method. To solve the model, Genetic Algorithm (GA) has been used depending on roulette wheel selection, crossover and mutation. Finally, a numerical example has been illustrated to study the feasibility of the model.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"61 1","pages":"40 - 57"},"PeriodicalIF":1.2,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80729702","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}
引用次数: 2
A New Order Function for Interval-Valued Intuitionistic Fuzzy Numbers and Its Application in Group Decision Making 区间值直觉模糊数的一种新阶函数及其在群体决策中的应用
IF 1.2
Fuzzy Information and Engineering Pub Date : 2021-01-02 DOI: 10.1080/16168658.2021.1936961
Sandeep Kumar, Shalu Rani, Mohit Kumar
{"title":"A New Order Function for Interval-Valued Intuitionistic Fuzzy Numbers and Its Application in Group Decision Making","authors":"Sandeep Kumar, Shalu Rani, Mohit Kumar","doi":"10.1080/16168658.2021.1936961","DOIUrl":"https://doi.org/10.1080/16168658.2021.1936961","url":null,"abstract":"Purpose: We introduce a multiple attribute group decision making (MAGDM) method under interval-valued intuitionistic fuzzy (IVIF) domain. In these MAGDM problems, attribute values and attribute weights are represented in terms of IVIF sets (IVIFSs). Methodology: The present methodology is divided into two parts. Firstly, an appropriate order function has been developed for IVIFSs. Secondly, an algorithm has been proposed for solving the MAGDM problems with IVIF decision information. Findings: To show the effectiveness of the proposed method, a theoretical comparative study with respect to some existing literature is provided. A real-life based numerical example is given to demonstrate the proposed solution procedure. The advantage of this method is also described. Values: Using proposed order function, interval-valued intuitionistic fuzzy hybrid geometric and ordered weighted averaging operators, the present method provides a most preferred alternative in six steps. On the basis of a comparative study, it can be observed that the present method simple and easy to implement for solving the IVIF MAGDM model occurrence in real-life decision making problems.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"8 3 1","pages":"111 - 126"},"PeriodicalIF":1.2,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75493870","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}
引用次数: 1
Weak Forms of Soft Separation Axioms and Fixed Soft Points 软分离公理的弱形式和不动软点
IF 1.2
Fuzzy Information and Engineering Pub Date : 2020-10-01 DOI: 10.1080/16168658.2021.1924528
T. Al-shami, E. A. Abo-Tabl, Baravan A. Asaad
{"title":"Weak Forms of Soft Separation Axioms and Fixed Soft Points","authors":"T. Al-shami, E. A. Abo-Tabl, Baravan A. Asaad","doi":"10.1080/16168658.2021.1924528","DOIUrl":"https://doi.org/10.1080/16168658.2021.1924528","url":null,"abstract":"Realizing the importance of separation axioms in classifications of topological spaces and studying certain properties of fixed points, we formulate new soft separation axioms, namely tt-soft and tt-soft b-regular spaces. Their definitions depend on three factors: soft b-open sets, total belong and total non-belong relations. In fact, they are genuine generalizations of p-soft -spaces in the cases of i = 0, 1, 2. With the help of examples, we study the relationships between them as well as with soft and soft b-regular spaces. Some interesting properties of them are obtained under the conditions of soft hyperconnected and extended soft topological spaces. Also, we show that they are preserved under finite product soft spaces and soft -homeomorphism mappings. Finally, we introduce a concept of b-fixed soft points and investigate its main properties.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"35 1","pages":"509 - 528"},"PeriodicalIF":1.2,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76240257","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}
引用次数: 10
Reliability Range Through Upgraded Operation with Trapezoidal Fuzzy Number 梯形模糊数升级后的可靠性范围
IF 1.2
Fuzzy Information and Engineering Pub Date : 2020-10-01 DOI: 10.1080/16168658.2021.1918039
Amit Kumar, P. Dhiman
{"title":"Reliability Range Through Upgraded Operation with Trapezoidal Fuzzy Number","authors":"Amit Kumar, P. Dhiman","doi":"10.1080/16168658.2021.1918039","DOIUrl":"https://doi.org/10.1080/16168658.2021.1918039","url":null,"abstract":"This work presents an application of upgraded arithmetic operations on trapezoidal fuzzy number to extend the reliability from point estimation to interval estimation. A realistic example of an accidental case has been taken to show the desired results. As we know that uncertainty is a disregardable phenomenon and in this situation crisp reliability may not be exact. To get a better hold on this situation, we introduce a method of trapezoidal fuzzy number and upgraded arithmetic operations. In this paper, the reliability of each factor is represented by the trapezoidal fuzzy number and the final reliability is obtained in the form of trapezoidal fuzzy number. Hence, the dejection of fuzzy number is preserved and the crisp region is increased to illustrate the highest membership grade as an interval. So it can help the decision maker to analyse the behaviour of the system and take effective decision accordingly to reduce the chance of mishappening.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"63 1","pages":"452 - 463"},"PeriodicalIF":1.2,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86655927","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}
引用次数: 2
Solving Two Coupled Fuzzy Sylvester Matrix Equations Using Iterative Least-squares Solutions 用迭代最小二乘法求解两个耦合模糊Sylvester矩阵方程
IF 1.2
Fuzzy Information and Engineering Pub Date : 2020-10-01 DOI: 10.1080/16168658.2021.1923442
A. Bayoumi, M. Ramadan
{"title":"Solving Two Coupled Fuzzy Sylvester Matrix Equations Using Iterative Least-squares Solutions","authors":"A. Bayoumi, M. Ramadan","doi":"10.1080/16168658.2021.1923442","DOIUrl":"https://doi.org/10.1080/16168658.2021.1923442","url":null,"abstract":"ABSTRACT In this paper, five iterative methods for solving two coupled fuzzy Sylvester matrix equations are considered. The two coupled fuzzy Sylvester matrix equations are expressed by using the generalized inverse of the coefficient matrix, then iterative solutions are constructed by applying the hierarchical identification principle and by using the block-matrix inner product (the star product for short). A proposed modification to this algorithm to solve the first coupled fuzzy Sylvester matrix equations is suggested. This proposed modification is compared with the first algorithm where our modification exhibits fast convergence behavior. Also, we suggested two least-squares iterative algorithm by applying a hierarchical identification principle to solve the two coupled fuzzy Sylvester matrix equations. The proposed methods are illustrated by numerical examples.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"1 1","pages":"464 - 489"},"PeriodicalIF":1.2,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89404366","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}
引用次数: 0
Characterization of Non-Associative Ordered Semigroups by the Properties of F-Ideals 用f理想的性质刻画非结合有序半群
IF 1.2
Fuzzy Information and Engineering Pub Date : 2020-10-01 DOI: 10.1080/16168658.2021.1924513
N. Kausar, M. Munir, S. Kousar, M. Gulistan, K. Anitha
{"title":"Characterization of Non-Associative Ordered Semigroups by the Properties of F-Ideals","authors":"N. Kausar, M. Munir, S. Kousar, M. Gulistan, K. Anitha","doi":"10.1080/16168658.2021.1924513","DOIUrl":"https://doi.org/10.1080/16168658.2021.1924513","url":null,"abstract":"In this article, we present brief description on R-OAG-gpd regular ordered AG-groupoid and IR-OAG-gpd intra-regular ordered AG-groupoid by using FL-ideal, FR-ideal, FQ-ideal, FB-ideal, FB-ideal, FGB-ideal.","PeriodicalId":37623,"journal":{"name":"Fuzzy Information and Engineering","volume":"11 1","pages":"490 - 508"},"PeriodicalIF":1.2,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79644549","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}
引用次数: 0
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