A new approach to concavity fuzzification (Q1983432)

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.