A New Approach to Concavity Fuzzification | Zendy

Ibtesam Alshammari | Zendy; Azza Alghamdi | Zendy; A. Ghareeb | Zendy

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A New Approach to Concavity Fuzzification

Author(s) -

Ibtesam Alshammari,

Azza Alghamdi,

A. Ghareeb

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6699295

Subject(s) - mathematics , generalization , degree (music) , fuzzy logic , fuzzy mathematics , combinatorics , discrete mathematics , fuzzy set , algebra over a field , algorithm , fuzzy number , artificial intelligence , pure mathematics , mathematical analysis , computer science , physics , acoustics

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.

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