In this work, we bridge possibility theory with intuitionistic L-fuzzy sets, by identifying a special class of possibility distributions corresponding to intuitionistic -fuzzy sets based on a complete residuated lattice with an involution. Moreover, taking the Lukasiewicz n-chains as structures of truth degrees, we propose an algorithm to compute the intuitionistic -fuzzy set corresponding to a given possibility distribution, in case it exists.
Boffa, S., Ciucci, D. (2021). Possibility Distributions Generated by Intuitionistic L -Fuzzy Sets. In Rough Sets. International Joint Conference, IJCRS 2021, Bratislava, Slovakia, September 19–24, 2021, Proceedings (pp.149-163) [10.1007/978-3-030-87334-9_13].
Possibility Distributions Generated by Intuitionistic L -Fuzzy Sets
Boffa, Stefania
;Ciucci, Davide
2021
Abstract
In this work, we bridge possibility theory with intuitionistic L-fuzzy sets, by identifying a special class of possibility distributions corresponding to intuitionistic -fuzzy sets based on a complete residuated lattice with an involution. Moreover, taking the Lukasiewicz n-chains as structures of truth degrees, we propose an algorithm to compute the intuitionistic -fuzzy set corresponding to a given possibility distribution, in case it exists.
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