In this paper we consider sequences of orthopairs given by refinement sequences of partitions of a finite universe. While operations among orthopairs can be fruitfully interpreted by connectives of threevalued logics, we describe operations among sequences of orthopairs by means of the logic IUML of idempotent uninorms having an involutive negation.
Refinements of orthopairs and IUML-algebras / S. Aguzzoli, S. Boffa, D. Ciucci, B. Gerla (LECTURE NOTES IN ARTIFICIAL INTELLIGENCE). - In: Rough Sets / [a cura di] V. Flores, F. Gomide, A. Janusz, C. Meneses, D. Miao, G. Peters, D. Ślęzak, G. Wang, R. Weber, Y. Yao. - Prima edizione. - [s.l] : Springer, 2016. - ISBN 9783319471594. - pp. 87-96 (( convegno International Joint Conference tenutosi a Santiago nel 2016 [10.1007/978-3-319-47160-0_8].
Refinements of orthopairs and IUML-algebras
S. Aguzzoli;
2016
Abstract
In this paper we consider sequences of orthopairs given by refinement sequences of partitions of a finite universe. While operations among orthopairs can be fruitfully interpreted by connectives of threevalued logics, we describe operations among sequences of orthopairs by means of the logic IUML of idempotent uninorms having an involutive negation.
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