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In this contribution new ways of constructing of ordinal sum of fuzzy implications are proposed. These methods are based on a construction of ordinal sums of overlap functions. Moreover, preservation of some properties of these ordinal sums of fuzzy implications are examined. Among others neutrality property, identity property, and ordering property are considered.
In this contribution new ways of constructing of ordinal sum of fuzzy implications are proposed. The methods allow considering summands on intervals of different type: open, closed, or half-open. Sufficient properties of fuzzy implications as summands for obtaining a fuzzy implication as a result are presented. Moreover, preservation of some properties of the ordinal sums are examined. Among others...
The aim of this paper is to choose diverse definitions of generalized logical connectives and to present them in a coherent order, from the weakest to the richest. Such a rich list of notions allows us to consider the problem of admissible aggregations in the presented classes of unary and binary operations. This gives a contribution to the discussion of tolerance analysis in soft computing, decision...
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