Mean Values of Fuzzy Numbers and the Measurement of Fuzziness by Evaluation Measures

Author

Yoshida, Yuji

Author_Institution

Fac. of Econ. & Bus. Adm., Kitakyushu Univ.

fYear

2006

fDate

7-9 June 2006

Firstpage

1

Lastpage

6

Abstract

In this paper, we discuss an evaluation method of fuzzy numbers as mean values and measurement of fuzziness defined by fuzzy measures, and the presented method is applicable to fuzzy numbers and fuzzy stochastic process defined by fuzzy numbers/fuzzy random variables in decision making. We compare the measurement of fuzziness and the variance as a factor to measure uncertainty. Formulae are also given to apply the results to triangle-type fuzzy numbers and trapezoidal-type fuzzy numbers

Keywords

decision theory; fuzzy set theory; random processes; stochastic processes; decision making; fuzziness possibility measure; fuzzy measures; fuzzy random variables; fuzzy stochastic process; mean values; necessity measure; trapezoidal-type fuzzy number; triangle-type fuzzy number; variance; Computational modeling; Cost accounting; Decision making; Fuzzy sets; Measurement uncertainty; Numerical models; Pricing; Random variables; Reliability engineering; Stochastic processes; fuzzy measure; fuzzy number; mean value; measurement of fuzziness possibility measure; necessity measure; variance;

fLanguage

English

Publisher

ieee

Conference_Titel

Cybernetics and Intelligent Systems, 2006 IEEE Conference on

Conference_Location

Bangkok

Print_ISBN

1-4244-0023-6

Type

conf

DOI

10.1109/ICCIS.2006.252245

Filename

4017804