Domination of ordered weighted averaging operators over t-norms. (English) Zbl 1066.68127

Mesiar, R.; Saminger, S.

Soft Comput. 8, No. 8, 562-570 (2004).

The paper contributes to the theoretical background of applications of fuzzy logics and fuzzy systems to the processing of data on the base of the strongest t-norms. It is known that some of the applications lead to complications connected with the increase of uncertainty. The paper aims to bridge this gap and to investigate the domination of orderd weighted averaging operators over t-norms, and the results are focused mainly on the case of Łukasiewicz t-norm. The analysis of such domination is summarized in the main results of the paper.

Reviewer: Milan Mareš (Praha)

MSC:

68T37	Reasoning under uncertainty in the context of artificial intelligence
03B52	Fuzzy logic; logic of vagueness
03E72	Theory of fuzzy sets, etc.

Keywords:

domination; t-norm; ordered weigted averaging operators; Łukasiewicz t-norm