T-subnorms with strong associated negation: Some properties

Jayaram, Balasubramaniam (2017) T-subnorms with strong associated negation: Some properties. Fuzzy Sets and Systems, 323. pp. 94-102. ISSN 0165-0114

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In this work we investigate t-subnorms M that have strong associated negation. Firstly, we show that such t-subnorms are necessarily t-norms. Following this, we investigate the inter-relationships between different algebraic and analytic properties of such t-subnorms, viz., Archimedeanness, conditional cancellativity, left-continuity, nilpotent elements, etc. In particular, we show that under this setting many of these properties are equivalent. Our investigations lead us to two open problems which are also presented.

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IITH Creators:
IITH CreatorsORCiD
Jayaram, Balasubramaniamhttp://orcid.org/0000-0001-7370-3821
Item Type: Article
Uncontrolled Keywords: Archimedeanness,Conditional cancellativity,Left-continuity,R-implications,Residual implications,T-normsT-subnorms
Subjects: Mathematics > Arithmetics
Mathematics > Topology
Mathematics > Numerical analysis
Divisions: Department of Mathematics
Depositing User: . LibTrainee 2021
Date Deposited: 30 Mar 2021 04:42
Last Modified: 30 Mar 2021 04:42
URI: http://raiith.iith.ac.in/id/eprint/7725
Publisher URL: http://doi.org/10.1016/j.fss.2017.01.012
OA policy: https://v2.sherpa.ac.uk/id/publication/11428
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