Varieties generated by T-norms
نویسندگان
چکیده
منابع مشابه
Varieties generated by T-norms
We are concerned with the variety T of algebras of type (2,2,2,0,0) generated by the algebra (I,◦), where I = ([0,1],∧,∨,0,1) is the unit interval with minimum and maximum determined by the usual order and.◦ 6 = ∧ is a continuous t-norm. We have shown that a strict t-norm and a nilpotent t-norm, and in fact any continuous t-norm except minimum, generate the same variety. Moreover, this variety ...
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In this paper we study Weak Nilpotent Minimum t-norms and their associated algebraic structures, the standard WNM-chains. We classify all the varieties generated by one standard WNM-chain, obtaining all the axiomatic extensions of WNM logic that are complete with respect to the semantics given by a left-continuous t-norm. To this end, we de ne a set of canonical standard WNMchains and we prove ...
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ژورنال
عنوان ژورنال: Soft Computing - A Fusion of Foundations, Methodologies and Applications
سال: 2004
ISSN: 1432-7643,1433-7479
DOI: 10.1007/s00500-003-0270-6