A revised method for ranking generalized fuzzy numbers

Yu Luo; Wen Jiang; Deyun Zhou; Xiyun Qin; Jun Zhan

A revised method for ranking generalized fuzzy numbers

Yu Luo, Wen Jiang, Deyun Zhou, Xiyun Qin, Jun Zhan

School of Electronics and Information

Northwestern Polytechnical University Xian

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

A number of fuzzy number ranking methods have been proposed by the researchers in recent years. However, most of them have exhibited several shortcomings associated with non-discriminative and counter-intuitive problems, especially, when the fuzzy numbers are symmetric fuzzy numbers or crisp numbers. In this paper, we propose a new method for ranking generalized fuzzy numbers where the weight of centroid points, degrees of fuzziness and the spreads of fuzzy numbers are taken into consideration, which can overcome the drawbacks of exiting methods and is efficient for evaluating symmetric fuzzy numbers and crisp numbers. At last, several numerical examples are provided to illustrate the superiority of the proposed method.

Original language	English
Title of host publication	2015 18th International Conference on Information Fusion, Fusion 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	303-310
Number of pages	8
ISBN (Electronic)	9780982443866
State	Published - 14 Sep 2015
Event	18th International Conference on Information Fusion, Fusion 2015 - Washington, United States Duration: 6 Jul 2015 → 9 Jul 2015

Publication series

Name	2015 18th International Conference on Information Fusion, Fusion 2015

Conference

Conference	18th International Conference on Information Fusion, Fusion 2015
Country/Territory	United States
City	Washington
Period	6/07/15 → 9/07/15

Keywords

centroid point
generalized fuzzy numbers
spread
the degree of fuzziness
weight

Cite this

@inproceedings{363b7d1f7a98462eafb638935cb43f83,

title = "A revised method for ranking generalized fuzzy numbers",

abstract = "A number of fuzzy number ranking methods have been proposed by the researchers in recent years. However, most of them have exhibited several shortcomings associated with non-discriminative and counter-intuitive problems, especially, when the fuzzy numbers are symmetric fuzzy numbers or crisp numbers. In this paper, we propose a new method for ranking generalized fuzzy numbers where the weight of centroid points, degrees of fuzziness and the spreads of fuzzy numbers are taken into consideration, which can overcome the drawbacks of exiting methods and is efficient for evaluating symmetric fuzzy numbers and crisp numbers. At last, several numerical examples are provided to illustrate the superiority of the proposed method.",

keywords = "centroid point, generalized fuzzy numbers, spread, the degree of fuzziness, weight",

author = "Yu Luo and Wen Jiang and Deyun Zhou and Xiyun Qin and Jun Zhan",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 18th International Conference on Information Fusion, Fusion 2015 ; Conference date: 06-07-2015 Through 09-07-2015",

year = "2015",

month = sep,

day = "14",

language = "英语",

series = "2015 18th International Conference on Information Fusion, Fusion 2015",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "303--310",

booktitle = "2015 18th International Conference on Information Fusion, Fusion 2015",

}

Luo, Y, Jiang, W , Zhou, D, Qin, X & Zhan, J 2015, A revised method for ranking generalized fuzzy numbers. in 2015 18th International Conference on Information Fusion, Fusion 2015., 7266576, 2015 18th International Conference on Information Fusion, Fusion 2015, Institute of Electrical and Electronics Engineers Inc., pp. 303-310, 18th International Conference on Information Fusion, Fusion 2015, Washington, United States, 6/07/15.

A revised method for ranking generalized fuzzy numbers. / Luo, Yu; Jiang, Wen ; Zhou, Deyun et al.
2015 18th International Conference on Information Fusion, Fusion 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 303-310 7266576 (2015 18th International Conference on Information Fusion, Fusion 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A revised method for ranking generalized fuzzy numbers

AU - Luo, Yu

AU - Jiang, Wen

AU - Zhou, Deyun

AU - Qin, Xiyun

AU - Zhan, Jun

PY - 2015/9/14

Y1 - 2015/9/14

N2 - A number of fuzzy number ranking methods have been proposed by the researchers in recent years. However, most of them have exhibited several shortcomings associated with non-discriminative and counter-intuitive problems, especially, when the fuzzy numbers are symmetric fuzzy numbers or crisp numbers. In this paper, we propose a new method for ranking generalized fuzzy numbers where the weight of centroid points, degrees of fuzziness and the spreads of fuzzy numbers are taken into consideration, which can overcome the drawbacks of exiting methods and is efficient for evaluating symmetric fuzzy numbers and crisp numbers. At last, several numerical examples are provided to illustrate the superiority of the proposed method.

AB - A number of fuzzy number ranking methods have been proposed by the researchers in recent years. However, most of them have exhibited several shortcomings associated with non-discriminative and counter-intuitive problems, especially, when the fuzzy numbers are symmetric fuzzy numbers or crisp numbers. In this paper, we propose a new method for ranking generalized fuzzy numbers where the weight of centroid points, degrees of fuzziness and the spreads of fuzzy numbers are taken into consideration, which can overcome the drawbacks of exiting methods and is efficient for evaluating symmetric fuzzy numbers and crisp numbers. At last, several numerical examples are provided to illustrate the superiority of the proposed method.

KW - centroid point

KW - generalized fuzzy numbers

KW - spread

KW - the degree of fuzziness

KW - weight

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M3 - 会议稿件

AN - SCOPUS:84960499003

T3 - 2015 18th International Conference on Information Fusion, Fusion 2015

SP - 303

EP - 310

BT - 2015 18th International Conference on Information Fusion, Fusion 2015

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 18th International Conference on Information Fusion, Fusion 2015

Y2 - 6 July 2015 through 9 July 2015

ER -

A revised method for ranking generalized fuzzy numbers

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Keywords

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