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A New Approach to Concavity Fuzzification

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In this paper, we introduce a more general approach to the fuzzification of fuzzy concavity. More specifically, the degree of - fuzzy concavity is introduced and characterized as a generalization… Click to show full abstract

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

Keywords: fuzzy concavity; concavity; degree fuzzy; approach; fuzzification; fuzzy concave

Journal Title: Journal of Mathematics
Year Published: 2021

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