Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4943800 | Fuzzy Sets and Systems | 2017 | 9 Pages |
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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Physical Sciences and Engineering
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Artificial Intelligence
Authors
Balasubramaniam Jayaram,