Operations fitting triangular-norm-based biresiduation

doi:10.1016/S0165-0114(98)00260-7

1999-05-01

PRE

Radko Mesiar

Novák, V

DOI：10.1016/S0165-0114(98)00260-7

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摘要

En 中文

Given a t-norm T and the corresponding biresiduation <->(T). An Operation K fits the latter (or shortly, is fitting) if <->(T) is respected by K in all its arguments. In this paper, the structure of fitting operations is investigated. Special attention is paid to the case of basic t-norms. The connection between the fitting property and the Lipschitz property is stressed. Some examples are given. (C) 1999 Elsevier Science B.V. All rights reserved.

Keyword:

residuation

biresiduation

fitting operation

implication

triangular norm