T-subnorms with strong associated negation: Some properties
Jayaram, Balasubramaniam (2017) T-subnorms with strong associated negation: Some properties. Fuzzy Sets and Systems. ISSN 0165-0114 (In Press)
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Abstract
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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| Item Type: | Article | ||||
| Uncontrolled Keywords: | T-norms; T-subnorms; Archimedeanness; Conditional cancellativity; Left-continuity; R-implications; Residual implications | ||||
| Subjects: | Mathematics | ||||
| Divisions: | Department of Mathematics | ||||
| Depositing User: | Team Library | ||||
| Date Deposited: | 22 Feb 2017 09:23 | ||||
| Last Modified: | 20 Sep 2017 07:23 | ||||
| URI: | http://raiithold.iith.ac.in/id/eprint/3059 | ||||
| Publisher URL: | https://doi.org/10.1016/j.fss.2017.01.012 | ||||
| OA policy: | http://www.sherpa.ac.uk/romeo/issn/0165-0114/ | ||||
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