(m; n)-Convexity-cum-Concavity on Fuzzy Soft Set with Applications in First and Second Sense | Punjab University Journal of Mathematics 2021

Author(s)

Atiqe Ur Rahman Department of Mathematics, University of Management and Technology, Lahore, Pakistan

Muhammad Saeed Department of Mathematics, University of Management and Technology, Lahore, Pakistan

Muhammad Arshad Department of Mathematics, University of Management and Technology, Lahore, Pakistan

Muhammad Ihsan Department of Mathematics, University of Management and Technology, Lahore, Pakistan

Muhammad Rayees Ahmad 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.

Publication Details

Page(s) 19-33

DOI DOI not available

Published Journal: Punjab University Journal of Mathematics, Volume: 53, Issue: 1, Year: 2021

Keywords

soft set Concave Fuzzy Concave Soft Set Convex Fuzzy Soft Set Convex Soft Set

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