title: Complex fuzzy set-valued complex fuzzy measures and their properties.
abstract: 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.
authors.affiliation: College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China ; School of Information and Technology, Hainan Normal University, Haikou 571158, China.
authors.forename: Shengquan
authors.initials: S
authors.lastname: Ma
authors.affiliation: College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China.
authors.forename: Shenggang
authors.initials: S
authors.lastname: Li