Complex Fuzzy Set-Valued Complex Fuzzy Measures and Their Properties

Abstract EN

Let F * ( K ) be the set of all fuzzy complex numbers.

In this paper some classical and measure-theoretical notions are extended to the case of complex fuzzy sets.

They are fuzzy complex number-valued distance on F * ( K ) , fuzzy complex number-valued measure on F * ( K ) , and some related notions, such as null-additivity, pseudo-null-additivity, null-subtraction, pseudo-null-subtraction, autocontionuous from above, autocontionuous from below, and autocontinuity of the defined fuzzy complex number-valued measures.

Properties of fuzzy complex number-valued measures are studied in detail.