{"title":"On Fuzzy Quasi-Invex Sets","authors":"Muhammad Bilal Khan, M. Noor, K. Noor","doi":"10.20454/IJAS.2020.1613","DOIUrl":null,"url":null,"abstract":"This study aims to consider new kind of a set is called fuzzy quasi-invex set, which is convenient to handle real world application like optimization problems. And it investigates fuzzy quasi-convex set in view of new set. Some examples are given to illustrate that Zadeh’s fuzzy quasi-convex set and classical convex set are special cases of fuzzy quasi-invex set. It is also proved that classical invex sets are fuzzy quasi-invex set. Further, some properties of fuzzy quasi-invex set are investigated and generalized in term of generalized fuzzy quasi-invex set. Furthermore, some properties of fuzzy optimizations are discussed.","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"29 1","pages":"11-26"},"PeriodicalIF":0.5000,"publicationDate":"2020-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Algebra and Computation","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.20454/IJAS.2020.1613","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 3
Abstract
This study aims to consider new kind of a set is called fuzzy quasi-invex set, which is convenient to handle real world application like optimization problems. And it investigates fuzzy quasi-convex set in view of new set. Some examples are given to illustrate that Zadeh’s fuzzy quasi-convex set and classical convex set are special cases of fuzzy quasi-invex set. It is also proved that classical invex sets are fuzzy quasi-invex set. Further, some properties of fuzzy quasi-invex set are investigated and generalized in term of generalized fuzzy quasi-invex set. Furthermore, some properties of fuzzy optimizations are discussed.
期刊介绍：
The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.
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