Revisiting XOR-Implications: Classes of fuzzy (Co)Implications Based on F-XOR (F-XNOR) Connectives

Abstract

The main contribution of this paper is the introduction of an intrinsic definition of the connective “fuzzy exclusive or” E (f-Xor E), based only on the properties of boundary conditions, commutativity and partial isotonicity-antitonicity on the the end-points of the unit interval U = [0, 1], in a way that the classical definition of the boolean Xor is… (More)
DOI: 10.1142/S0218488513500414

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@article{Bedregal2013RevisitingXC, title={Revisiting XOR-Implications: Classes of fuzzy (Co)Implications Based on F-XOR (F-XNOR) Connectives}, author={Benjam{\'i}n R. C. Bedregal and Renata Hax Sander Reiser and Graçaliz Pereira Dimuro}, journal={International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems}, year={2013}, volume={21}, pages={899-926} }