Solution to an open problem: A characterization of conditionally cancellative t-subnorms

Jayaram, Balasubramaniam (2012) Solution to an open problem: A characterization of conditionally cancellative t-subnorms. Aequationes Mathematicae, 84 (3). pp. 235-244. ISSN 0001-9054

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Abstract

In this work we solve an open problem of U. Höhle (Klement et al. Fuzzy Sets Syst 145:471-479, 2004, Problem 11). We show that the solution gives a characterization of all conditionally cancellative t-subnorms. Further, we give an equivalence condition under which a conditionally cancellative t-subnorm has 1 as its neutral element and hence show that conditionally cancellative t-subnorms whose natural negations are strong are, in fact, t-norms.

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IITH Creators:	IITH Creators ORCiD Jayaram, Balasubramaniam http://orcid.org/0000-0001-7370-3821
Item Type:	Article
Uncontrolled Keywords:	conditional cancellativity; fuzzy negation; natural negation; open problem; residuation; t-subnorm; Triangular norms;
Subjects:	Mathematics
Divisions:	Department of Mathematics
Depositing User:	Users 3 not found.
Date Deposited:	15 Oct 2014 09:37
Last Modified:	20 Sep 2017 08:46
URI:	http://raiithold.iith.ac.in/id/eprint/444
Publisher URL:	https://doi.org/10.1007/s00010-012-0143-0
OA policy:	http://www.sherpa.ac.uk/romeo/issn/0001-9054/
Related URLs:	Google Scholar

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