Open Accessn-Dimensional Fuzzy Implications: Analytical, Algebraic and Applicational Approaches
Author(s) -
Rosana Zanotelli,
Renata Reiser,
Benjamın Bedregal
Publication year - 2021
Language(s) - English
Resource type - Conference proceedings
DOI - 10.5753/weit.2021.18938
Subject(s) - fuzzy logic , constructive , imperfect , algebraic number , mathematics , fuzzy set , algebra over a field , computer science , discrete mathematics , artificial intelligence , algorithm , pure mathematics , mathematical analysis , linguistics , philosophy , process (computing) , operating system
The study of n-dimensional fuzzy logic contributes to overcome the insufciency of traditional FL in modeling imperfect and imprecise information coming from different experts. Based on representability, we extend results from fuzzy connectives to n-dimensional approach. This research on n-dimensional fuzzy implications (n-DI) pass through the next steps: (i) analytical studies; (ii) algebraic aspects; (iii) n-dimensional approach of fuzzy implication classes represented by fuzzy connectives as (S, N)-implications and QL-implications; (iv) studies of n-dimensional R-implications (n-DRI); (v) constructive method obtaining n-DRI based on n-dimensional aggregation operators and (vi) an introductory study considering an n-DI in modeling approximate reasoning.