Interpreting Xor Intuitionistic Fuzzy Connectives from Quantum Fuzzy Computing

Anderson Avila, Renata Reiser, MaurĂ­cio Pilla, Adenauer Yamin

Abstract

Computer systems based on intuitionistic fuzzy logic are capable of generating a reliable output even when handling inaccurate input data by applying a rule based system, even with rules that are generated with imprecision. The main contribution of this paper is to show that quantum computing can be used to extend the class of intuitionistic fuzzy sets with respect to representing intuitionistic fuzzy Xor operators. This paper describes a multi-dimensional quantum register using aggregations operators such as t-(co)norms based on quantum gates allowing the modeling and interpretation of intuitionistic fuzzy Xor operations.

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