(m, n)-Convexity-cum-Concavity on Fuzzy Soft Set with Applications in First and Second Sense
Atiqe Ur Rahman, Muhammad Saeed, Muhammad Arshad, Muhammad Ihsan, Muhammad Rayees Ahmad
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Source: Crossref
Published: Jan 8, 2021
DOI: 10.52280/pujm.2021.530102
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Soft set theory is considered as one of the best effective tool which provides parameterization approach to tackle the inadequacy of fuzzy set. So far, it has been applied to different mathematical concepts such as set operations, algebraic structure (e.g., group and ring theory) and topological spaces. Many researchers have studied classical concept of convex and concave set under fuzzy-like, soft-like and fuzzy soft-like environments. In this paper, new notions of (m, n)-convex and (m, n)- concave fuzzy soft sets are developed first and then their versions for first and second senses are established. Further some known classical results and properties are generalized under fuzzy soft set environment. Moreover, special cases of (m, n)-convexity on fuzzy soft sets are established
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