A general model for transforming vague sets into fuzzy sets

Authors:
Yong Liu;Guoyin Wang;Lin Feng
Affiliations:
Institute of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China;Institute of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China and School of Information Science and Technology, Southwest Jiaotong Univ ...;School of Information Science and Technology, Southwest Jiaotong University, Chengdu, P.R. China and Department of Engineering and Technology, Sichuan Normal University, Chengdu, P.R. China
Venue:
Transactions on computational science II
Year:
2008

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Abstract

The relationship between vague sets and fuzzy sets are analyzed in thispaper. A general model for transforming vague sets into fuzzy sets is proposed.The transformation of a vague set into a fuzzy set is proved to be a many-to-one mapping relation. The validity of this transformation model is also discussed. Itestablishes a mathematical relationship between the vague set theory and fuzzyset theory.