On Fuzzy Quasi-Invex Sets

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Muhammad Bilal Khan
Muhammad Aslam Noor
Khalida Inayat Noor


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.


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Muhammad Bilal Khan, Muhammad Aslam Noor, & Khalida Inayat Noor. (2020). On Fuzzy Quasi-Invex Sets. International Journal of Algebra and Statistics, 9(1-2), 11–26. https://doi.org/10.20454/ijas.2020.1613

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