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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
Atiqe Ur Rahman, Muhammad Saeed, Muhammad Arshad, Muhammad Ihsan, Muhammad Rayees Ahmad. (2021) (m, n)-Convexity-cum-Concavity on Fuzzy Soft Set with Applications in First and Second Sense, Punjab University Journal of Mathematics, Volume-53, Issue-1.
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