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Generalized t-norm structures

✍ Scribed by C.A. Drossos

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 481 KB
Volume: 104
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(98)00258-9

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✦ Synopsis

This is a continuation of the work in (Drossos and Navara, EUFIT 96, Aachen, Germany, 1996). In this paper we investigate the possibility of defining a quantitative structure (non-idempotent) on the top of a usual qualitative structure. These generalized monoidal structures are very much related to the notion of t-norms and t-conorms defined on the closed interval [0, 1]. We would then like to define an appropriate generalization of the notion of t-norm, as a generalized monoidal structure, which will reflect a minimum of properties of t-norms defined on [0, 1] considered as absolutely basic.

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