Complex Fuzzy Set-Valued Complex Fuzzy Measures and Their Properties. (24th June 2014)

• Record Type: Journal Article
• Authors: Ma, Shengquan; Li, Shenggang
• Other Names: Zhan Jianming Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2014(2014)
• Publication Date: 2014-06-24
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2014/493703
• Languages: English
• ISSNs: 2356-6140

Abstract

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.