IJPAM: Volume 106, No. 2 (2016)

A THEORY OF FUZZY SETS BASED ON
CUT SET WITH PARAMETERS

Wang Fengxia$^{1,2}$, Zhang Cheng$^{2}$, Yuan Xuehai$^{3}$, Xia Zunquan$^{1}$
$^1$School of Mathematical Sciences
Dalian University of Technology
Dalian, 116024, P.R. CHINA
$^2$School of Information and Engineering
Dalian University
Dalian, 116622, P.R. CHINA
$^{3}$School of Control Sciences and Engineering
Dalian University of Technology
Dalian, 116024, P.R. CHINA


Abstract. In this paper, we first discuss the relationships among the existing four cut sets, and introduce the unification of these four cut sets as one cut set with parameters. Then, we give out the properties of the cut set with parameters, and establish the appropriate decomposition theorem and representation theorem of fuzzy sets.

Received: January 29, 2015

AMS Subject Classification: 03E72

Key Words and Phrases: fuzzy set, cut set, cut product, cut set with parameters, decomposition theorem, representation theorem

Download paper from here.



DOI: 10.12732/ijpam.v106i2.1 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 2
Pages: 355 - 364


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).