Interpretations on Quantum Fuzzy Computing: Intuitionistic Fuzzy Operations × Quantum Operators
Author(s) -
Renata Reiser,
Alexandre Lemke,
Anderson Ávila,
Júlia Krüger Vieira,
Maurı́cio L. Pilla,
André Du Bois
Publication year - 2016
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2016.09.012
Subject(s) - fuzzy logic , negation , mathematics , algebra over a field , quantum , fuzzy set operations , quantum logic , discrete mathematics , fuzzy set , theoretical computer science , quantum computer , pure mathematics , computer science , artificial intelligence , quantum mechanics , physics , programming language
Quantum processes provide a parallel model for fuzzy connectives. Calculations of quantum states may be simultaneously performed by the superposition of membership and non-membership degrees of each element regarding the intuitionistic fuzzy sets. This work aims to interpret Atanassov's intuitionistic fuzzy logic through quantum computing, where not only intuitionistic fuzzy sets, but also their basic operations and corresponding connectives (negation, conjuntion, disjuntion, difference, codifference, implication, and coimplication), are interpreted based on the traditional quantum circuit model
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom