Title
Towards General Forms Of Interval Type-2 Fuzzy Logic Systems
Abstract
Recently, it has been shown that interval type-2 fuzzy sets (IT2FSs) are more general than interval-valued fuzzy sets (IVFSs), and some of these IT2FSs can actually be non-convex. Although these IT2FSs could be considered within the general type-2 fuzzy sets' (GT2FSs) scope, this latter have always been studied and developed under certain conditions considering the convexity and normality of their secondary grades. In recent works the operations of intersection and union for GT2FSs have been extended to include non-convex and non-normal secondary grades. Hence, there is a need to develop the theory for those general forms of interval type-2 fuzzy logic systems (gfIT2FLSs) which use IT2FSs that are not equivalent to IVFSs and can have non-convex secondary grades. Furthermore, we will present the mathematical tools to define the inference engine. This work aims to introduce the basic structure of such gfIT2FLSs, paying special attention to those blocks presenting significant differences with the already well known type-2 FLSs which employ IT2FSs which are equivalent to IVFSs (we will term IVFLSs).
Year
Venue
Keywords
2016
2016 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE)
general forms of IT2FLS, IT2FLS, fuzzy logic, fuzzy logic systems
Field
DocType
ISSN
Computer science,Fuzzy set operations,Fuzzy mathematics,Fuzzy set,Theoretical computer science,Artificial intelligence,Fuzzy number,Defuzzification,Fuzzy logic,Algorithm,Type-2 fuzzy sets and systems,Membership function,Machine learning
Conference
1544-5615
Citations 
PageRank 
References 
0
0.34
12
Authors
4
Name
Order
Citations
PageRank
G. Ruiz131.07
Héctor Pomares265164.11
I. Rojas31750143.09
Hani Hagras41747129.26