Mathematical analysis of fuzzy Numbers and fuzzy number mappings

Abstract

This research work is mainly concerned with generalizations newlineand formulation of theories that connect fuzzy numbers and fuzzy number newlinemappings to mathematical Analysis In other words this proposed work newlinecontributes a theoretical analysis of fuzzy numbers and fuzzy number newlinemappings over fuzzy mathematics Many scientists discussed and newlineforwarded different kind of fuzzy functions but not more about fuzzy newlinenumber mappings and their characteristics The motivation of this work newlinelies in the characteristics of fuzzy number mappings Fuzzy number newlinemappings are the functions defined over fuzzy number space which maps newlinefuzzy numbers to fuzzy numbers The existence of fuzzy number newlinemappings depends on fuzzy numbers newlineThis thesis explores the characteristics of fuzzy number newlinemappings on fuzzy number interval using the partitions of membership newlinevalues Furthermore these partitions are correspond to the values left and newlineright about mean of the closed interval fuzzy number interval To newlineinvestigate the results it is essential to assume that left and right part are newlinesimilar and also membership values are continuous newline newline