in this paper we introduce the notions of fuzzy transposition hypergroupsand fuzzy regular relations and investigate their basic properties.we also study fuzzy quotient hypergroups of a fuzzy transposition hypergroup.

Aggregation operators (AOs) have been studied by many schol- ars. As many AOs are proposed, there is still lacking approach to classify the categories of AO, and to select the appropriate AO within the AO candidates. In this research, each AO can be regarded as a cognitive style or individual dierence. A Cognitive Style and Aggregation Operator (CSAO) model is pro- posed to analyze the mapping ...

ZnO as a promising photocatalyst has gained much attention for the removal of organic pollutants from water. However, main drawbacks relatively low photocatalytic activity and high recombination rate photo excited electronhole pairs, restrict its potential applications. Promoting spatial separation charge carriers is paramount signi? cance photocatalysis, because dierence in band positions make...

fuzzy order congruences play an important role in studying the categoricalproperties of fuzzy posets. in this paper, the correspondence between the fuzzyorder congruences and the fuzzy order-preserving maps is discussed. we focus onthe characterization of fuzzy order congruences on the fuzzy poset in terms ofthe fuzzy preorders containing the fuzzy partial order. at last, fuzzy completecongruen...

aggregation operators (aos) have been studied by many schol- ars. as many aos are proposed, there is still lacking approach to classify the categories of ao, and to select the appropriate ao within the ao candidates. in this research, each ao can be regarded as a cognitive style or individual dierence. a cognitive style and aggregation operator (csao) model is pro- posed to analyze the mapping ...

it is well known fact that binary relations are generalized mathematical functions. contrary to functions from domain to range, binary relations may assign to each element of domain two or more elements of range. some basic operations on functions such as the inverse and composition are applicable to binary relations as well. depending on the domain or range or both are fuzzy value fuzzy set, i...