Research On Uninorm And Two Types Of Fuzzy Implication Based On Uninorm

In this paper, dual uninorm, complemented uninorm and two types of fuzzy implication based on uninorm are studied in detail. The main content is summarized as follows.Firstly, the dual uninorm and complemented uninorm are studied. A kind of way in which we can generate new dual (complemented) uninorm based on the known one by using the strictly monotone increasing con-tinuous function is given on the basis of defining the dual uninorm and complemented uninorm.Secondly, S-implications IS based on disjunctive uninorm are in-vestigated. Related properties of fuzzy implication Is are discussed and two kinds of its axiomatic characterizations are also given. Be-sides, S-implications based on two kinds of special disjunctive uninorm (idempotent uninorm and representable uninorm) are studied in detail.Finally, fuzzy implications IU,N based on conjunctive uninorm are analysed. Related properties of fuzzy implication IU,N are discussed and two kinds of its axiomatic characterizationsare also given. Moreover, the necessary and sufficient conditions of fuzzy implication IU,N= Is and strict fuzzy implication IU,N=IR are studied further.