Next Article in Journal
A General Zero Attraction Proportionate Normalized Maximum Correntropy Criterion Algorithm for Sparse System Identification
Next Article in Special Issue
Managing Non-Homogeneous Information and Experts’ Psychological Behavior in Group Emergency Decision Making
Previous Article in Journal
Bounded Solutions to Nonhomogeneous Linear Second-Order Difference Equations
Previous Article in Special Issue
Asymmetries in the Maintenance Performance of Spanish Industries before and after the Recession
Open AccessArticle

Decomposition and Intersection of Two Fuzzy Numbers for Fuzzy Preference Relations

Department of Industrial Engineering and Management, National Kaohsiung University of Applied Sciences, Kaohsiung 80778, Taiwan
Symmetry 2017, 9(10), 228;
Received: 11 September 2017 / Revised: 7 October 2017 / Accepted: 9 October 2017 / Published: 14 October 2017
(This article belongs to the Special Issue Fuzzy Techniques for Decision Making)
In fuzzy decision problems, the ordering of fuzzy numbers is the basic problem. The fuzzy preference relation is the reasonable representation of preference relations by a fuzzy membership function. This paper studies Nakamura’s and Kołodziejczyk’s preference relations. Eight cases, each representing different levels of overlap between two triangular fuzzy numbers are considered. We analyze the ranking behaviors of all possible combinations of the decomposition and intersection of two fuzzy numbers through eight extensive test cases. The results indicate that decomposition and intersection can affect the fuzzy preference relations, and thereby the final ranking of fuzzy numbers. View Full-Text
Keywords: fuzzy number; ranking; preference relations fuzzy number; ranking; preference relations
Show Figures

Figure 1

MDPI and ACS Style

Tang, H.-C. Decomposition and Intersection of Two Fuzzy Numbers for Fuzzy Preference Relations. Symmetry 2017, 9, 228.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Search more from Scilit
Back to TopTop