Ranking fuzzy numbers using fuzzy maximizing-minimizing points

DOI

10.2991/eusflat.2011.115How to use a DOI?

Keywords

Fuzzy numbers, Fuzzy maximizingminimizing points, Ranking, Center of gravity (COG) point, Aggregation.

Abstract

Up to now, several approaches have been proposed for ranking of fuzzy numbers using maximizing set and minimizing sets. Often, the reference points are created by real numbers. In this paper, we proposed new reference points so called fuzzy maximizing-minimizing points. To this purpose, we used the center of gravity of fuzzy numbers and their left/right spreads to construct such fuzzy points. Moreover, we suggested a new aggregation function with pessimistic/optimistic structure for a set of fuzzy numbers. Also, some examples are given to show the ability of proposed ranking approach and the related aggregation function.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - S. Salahshour
AU  - S. Abbasbandy
AU  - T. Allahviranloo
PY  - 2011/08
DA  - 2011/08
TI  - Ranking fuzzy numbers using fuzzy maximizing-minimizing points
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 763
EP  - 769
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.115
DO  - 10.2991/eusflat.2011.115
ID  - Salahshour2011/08
ER  -