A New Approach to Concavity Fuzzification

Author:

Alshammari Ibtesam1ORCID,Alghamdi Azza M.2ORCID,Ghareeb A.23ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Hafr Al Batin, Al Batin 31991, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Al-Baha University, Al-Baha 65799, Saudi Arabia

3. Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

Abstract

In this paper, we introduce a more general approach to the fuzzification of fuzzy concavity. More specifically, the degree of L , M -fuzzy concavity is introduced and characterized as a generalization of L -concave structure and L , M -fuzzy concave structure. Based on that, the degree of L , M -fuzzy concavity preserving and L , M -fuzzy concave-to-concave of a function are defined. Some properties and relationships between the degree of L , M -fuzzy concavity preserving and L , M -fuzzy concave-to-concave functions are discussed.

Funder

University of Hafr Al Batin

Publisher

Hindawi Limited

Subject

General Mathematics

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5. On the embedding of convex spaces in stratified L-convex spaces

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