On the Order-Compatibility of Fuzzy Logic Connectives on the Generated Clifford Poset

Nanavati, Kavit and Jayaram, Balasubramaniam (2022) On the Order-Compatibility of Fuzzy Logic Connectives on the Generated Clifford Poset. In: 19th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2022, 11 July 2022 through 15 July 2022, Milan.

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Abstract

Fuzzy logic connectives have been order-theoretically explored in many recent works. Among them, Clifford’s relations, both the additive and multiplicative versions, are prominently employed for their generality as well as utility. While the algebraic properties of the original operation are preserved, its order-theoretic properties, viz., monotonicity, boundedness, etc., are not always preserved on the obtained Clifford poset. In this work, we characterize the necessary and sufficient conditions for these and examine the behaviour of certain fuzzy logic connectives on the induced Clifford posets. © 2022, Springer Nature Switzerland AG.

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