Characterization of uninorms with continuous underlying t-norm and t-conorm by means of the ordinal sum construction
نویسندگان
چکیده
منابع مشابه
On properties of uninorms with underlying t-norm and t-conorm given as ordinal sums
Uninorms as binary operations on the unit interval have been widely applied in the fuzzy set theory. This paper presents some 7 properties of uninorm-like operations for which the underlying operations are given by ordinal sums. If the underlying operations of a uninorm are given by ordinal sums, then the Cartesian product of the union of two arbitrary intervals (one in [0, e] and the other in ...
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The class of discrete uninorms U such that their underlying t-norm T and t-conorm S are smooth is studied. The different cases combining when T is the minimum or the Łukasiewicz t-norm and S is the maximum or the Łukasiewicz t-conorm, are characterized and the number of discrete uninorms with these underlying operators is given. It is also studied the general case when T and/or S are smooth, bu...
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ژورنال
عنوان ژورنال: International Journal of Approximate Reasoning
سال: 2017
ISSN: 0888-613X
DOI: 10.1016/j.ijar.2017.01.007