Complex Fuzzy Set-Valued Complex Fuzzy Measures and Their Properties

Author:

Ma Shengquan12,Li Shenggang1

Affiliation:

1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China

2. School of Information and Technology, Hainan Normal University, Haikou 571158, China

Abstract

LetF*(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 onF*(K), fuzzy complex number-valued measure onF*(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.

Funder

International Science and Technology Cooperation Foundation of China

Publisher

Hindawi Limited

Subject

General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine

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