Ranking nonnormal p-norm trapezoidal fuzzy numbers with integral value

Authors:
Chi-Chi Chen;Hui-Chin Tang
Affiliations:
Department of Industrial Engineering and Management, Cheng Shiu University, Kaohsiung 833, Taiwan;Department of Industrial Engineering and Management, National Kaohsiung University of Applied Sciences, Kaohsiung 80778, Taiwan
Venue:
Computers & Mathematics with Applications
Year:
2008

Citing 6
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Abstract

This paper considers the ranking fuzzy numbers with integral value, proposed by Liou and Wang, for the nonnormal p-norm trapezoidal fuzzy numbers. Two interesting special cases of p-norm trapezoidal fuzzy numbers are the well-known triangular and trapezoidal fuzzy numbers. For the nonnormal fuzzy numbers, the differences exist among the membership functions for the triangular, trapezoidal and p-norm trapezoidal fuzzy numbers. These differences can affect their left, right and total integral values, so we establish the relationship between these three types of fuzzy numbers.