A NEW LOOK AT FUZZY-CONNECTIVES

Authors
FODOR JC
Citation
Jc. Fodor, A NEW LOOK AT FUZZY-CONNECTIVES, Fuzzy sets and systems, 57(2), 1993, pp. 141-148
Citations number
14
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Computer Applications & Cybernetics","Statistic & Probability",Mathematics
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
57
Issue
2
Year of publication
1993
Pages
141 - 148
Database
ISI
SICI code
0165-0114(1993)57:2<141:ANLAF>2.0.ZU;2-P
Abstract
A new and general approach is suggested to revise definitions and prop erties of logical connectives for fuzzy sets. This is based on solutio ns of a functional equation between implications and conjunctions refl ecting the residuation principle. Using that equation, properties of R -implications are characterized by corresponding properties of conjunc tions. Representation theorems for weak t-norms and strict negations a re also obtained.