Paper Info
Title
A survey of fuzzy implication algebras and their axiomatization
Abstract
The theory of fuzzy implication algebras was proposed by Professor Wangming Wu in 1990. The present paper reviews the following two aspects of studies on FI-algebras: concepts, properties and some subclasses of FI-algebras; axiomatization of the class of FI-algebras and some of its important subclasses. The main results are summarized in the current paper, the relationships between FI-algebras and several classes of important fuzzy algebras are discussed, such as BL-algebras, MTL-algebras, and residuated lattices, and propositional calculus systems of several special classes of FI-algebras are shown.
Year
DOI
Venue
2014
10.1016/j.ijar.2014.05.008
International Journal of Approximate Reasoning
Keywords
Field
DocType
bck-algebra,heyting type fuzzy implication algebras,non-classical logics,fuzzy implication algebra,pfi-algebra,regular fuzzy implication algebra
Interior algebra,Discrete mathematics,T-norm fuzzy logics,Algebra,Quadratic algebra,Fuzzy logic,Pure mathematics,Propositional calculus,Monoidal t-norm logic,BCK algebra,Mathematics,Algebra representation
Journal
Volume
Issue
ISSN
55
8
0888-613X
Citations 
PageRank 
References 
2
0.63
23
Authors
1
Name
Order
Citations
PageRank
Daowu PEI146227.36