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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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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