Paper Info
Title
Dual Extension Principle And Dual Fuzzification Using Lower Level Sets: Representation Theorems
Abstract
The extension principle is always used to fuzzify the crisp functions to obtain the fuzzy functions in which the alpha-level sets of fuzzy sets are involved in the calculation. In this paper, we shall consider the concepts of upper and lower alpha-level sets of fuzzy sets. On the other hand, we shall establish the so-called dual extension principle using the concept of dual fuzzy set, which can also be used to fuzzify the crisp function into fuzzy functions. This kind of technique can also be called the dual fuzzification. The benefit of this paper is to provide another technique called dual fuzzification to fuzzify the crisp function into fuzzy functions. The relationship between the fuzzified function using the extension principle and the dual-fuzzified function using the dual extension principle will be established in this paper.
Year
DOI
Venue
2021
10.1080/03081079.2020.1863396
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Keywords
DocType
Volume
Decomposition theorem, dual fuzzy set, extension principle, lower level set, upper level set
Journal
50
Issue
ISSN
Citations 
2
0308-1079
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Hsien-Chung Wu100.34