Affiliation:
1. Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Abstract
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
Publisher
Department of Mathematics, University of the Punjab
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