Graded dominance and related graded properties of fuzzy connectives
نویسندگان
چکیده
This text is a further elaboration of the previous research report [5]. Graded properties of binary and unary connectives valued in MTL4-algebras are studied in the framework of Fuzzy Class Theory (or higher-order fuzzy logic) FCT, which serves as a tool for easy derivation of graded theorems. The properties studied include graded monotonicity, a generalized Lipschitz property, commutativity, associativity, unit elements, and dominance. Graded generalizations of known non-graded theorems as well as new graded theorems on the graded properties are proved in FCT. The graded notion of dominance is applied to the transmission of graded transitivity and extensionality of fuzzy relations.
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ورودعنوان ژورنال:
- Fuzzy Sets and Systems
دوره 262 شماره
صفحات -
تاریخ انتشار 2015