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Fundamental Triangular Norm Based Tribes and Measures

✍ Scribed by R. Mesiar


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
232 KB
Volume
177
Category
Article
ISSN
0022-247X

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On triangular norm based axiomatic exten
✍ Carles Noguera; Francesc Esteva; Joan Gispert πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 285 KB πŸ‘ 1 views

## Abstract In this paper we carry out an algebraic investigation of the weak nilpotent minimum logic (WNM) and its t‐norm based axiomatic extensions. We consider the algebraic counterpart of WNM, the variety of WNM‐algebras (π•Žβ„•π•„) and prove that it is locally finite, so all its subvarieties are gen

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From a mathematical point of view, the use of triangular norms as connectives in many-valued, in particular in [0, 1]valued logics and fuzzy logics is discussed. Also, an overview of some non-additive generalizations of classical measures is given. (~) 1997 Elsevier Science B.V.