A New Approach to Concavity Fuzzification

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 concavi...

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Bibliographic Details
Main Authors: Ibtesam Alshammari, Azza M. Alghamdi, A. Ghareeb
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6699295
Description
Summary: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.
ISSN:2314-4629
2314-4785