Homogeneity of Complex Fuzzy Operations

Autor: Bo Hu, Wei Wu, Songsong Dai
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Axioms, Vol 11, Iss 6, p 274 (2022)
Druh dokumentu: article
ISSN: 2075-1680
DOI: 10.3390/axioms11060274
Popis: The homogeneity of binary functions on the unit interval [0, 1] is a very useful property in many real practical applications. This paper studies the homogeneity of binary functions on the unit circle of the complex plane. The homogeneity is a generalization of both rotational invariance and ratio scale invariance for complex fuzzy operations. We show that a binary function is homogeneous if and only if it is both rotationally invariant and ratio scale invariant. Moreover, we consider the simplification of the homogeneity for complex fuzzy binary operators.
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