On properties of harmonic concave fuzzy mappings

In this paper, strictly and semistrictly harmonic concave fuzzy mappings have been defined based on the linear ordering proposed by Goetschel and Voxman (1986), using the ranking value function. Furthermore, the interrelationships among harmonic concave, strictly harmonic concave and semistrictly harmonic concave fuzzy mappings have been studied and several interesting results have been obtained.