| Zadeh proposed the concept of fuzzy set in 1965,which provides a very effective tool to describe and deal with the fuzziness of thing and the uncertainty of system.The core of fuzzy set theory is fuzzy logic theory,which is widely used in decision system,neural network and so on.Fuzzy logic operator is an important part of fuzzy logic,and the study of migrativity property is one of the methods to describe fuzzy logic operators.At present,there have been a series of achievements on the migrativity of fuzzy logic operators.This paper mainly studies the migrativity between the fuzzy logic operator 2-uninorm.The structure of this thesis is organized as follows:Chapter One:Preliminaries.In this chapter,some basic concepts and relevant conclusions of fuzzy logic operators such as t-norm(t-conorm),uninorm and 2-uninorm are introduced.Then the related results about migrativity in several kinds of most common uninorm are summarized.Chapter Two:The migrativity between PMI uninorm and PMA uninorm.First,the concepts of PMI uninorm and PM A uninorm are given.Then,the properties of the most usual PMI(PMA)uninorm after PMI or PMA are discussed.Finally,the migrativity of P M I(P M A)uninorm respect to PMI(PMA)and the migrativity of PMA(PMI)uninorm respect to PMI(PMA)are described.Chapter Three:Migrativity between 2-uninorm.Introduced the concept of migrativity of 2-uninorm and a 2-uninorm are local internal.2-uninorm of the structure will be divided into three categories.We describe migrativity of some 2-uninorm in each category of 2-uninorm when its underlying uninorm is PMI uninorm or PM A uninorm. |