Uninorms on bounded lattices

This thesis consists of two chapters. In the first chapter, it is made a general study of literature and is mentioned some main results obtained about uninorms on [0,1]. The second chapter consists of four sections. In the first section, some new properties of uninorms on bounded lattices is investigated and examples to that kind of uninorms is given. In the second section, a t-norm and a t-conorm on a bounded lattice L are obtained by means of a given uninorm with e?L neutral element on L when all x?L is comparable e. In the third section, two methods of constructing a uninorm with given neutral element e?L on a bounded lattice L is introduced and as a by product, the smallest and the greatest uninorm with neutral element e?L\{0,1} on L are obtained. In the last section, it can be derived from the approach proposed by Deschrijver [10] to aggregation on L([0,1] ).