A TOTAL ORDER FOR THE GRADED NUMBERS USED IN DECISION PROBLEMS-Reference-Cited by-同舟云学术

A TOTAL ORDER FOR THE GRADED NUMBERS USED IN DECISION PROBLEMS

Published:1999-06 Issue:03 Volume:07 Page:267-276
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

HERENCIA JOSÉ A.¹,LAMATA M. TERESA²

Affiliation:

1. Dept. Informática y Análisis Numérico, Universidad de Córdoba, Campus de Rabanales, Edificio C-2; 14071 - Córdoba, Spain

2. Dept. Ciencias de la Computación e I. A., Universidad de Granada, E. T. S. Ingeneiría Informática; 18071 - Granada, Spain

Abstract

Let us consider a classical problem of decision-making with fuzzy rewards. In order to choose the alternative which corresponds to the best fuzzy reward, we need to use a total order for the fuzzy numbers involved in the problem. In this paper, we consider a definition of such a total order, which is based upon two subjective aspects: the degree of optimism/pessimism and the liking for risk/safety. We also use the graded numbers which are analogous to the fuzzy numbers. However, the operations with graded numbers are carried out as a simple extension of operations with real intervals.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488599000209

Reference20 articles.

1. Rating and ranking of multiple-aspect alternatives using fuzzy sets

2. Comparison of fuzzy sets on the same decision space

3. Fuzzy decision trees

4. A procedure for ordering fuzzy subsets of the unit interval

5. Ranking fuzzy numbers in the setting of possibility theory

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the admissibility of the alpha-order for fuzzy numbers;Computational and Applied Mathematics;2024-08-23

2. The alpha-ordering for a wide class of fuzzy sets of the real line: the particular case of fuzzy numbers;Computational and Applied Mathematics;2023-12-08

3. Bibliography;Mathematical Foundation of Fuzzy Sets;2022-12-30

4. Arithmetic operations of non-normal fuzzy sets using gradual numbers;Fuzzy Sets and Systems;2020-11

5. Set operations of fuzzy sets using gradual elements;Soft Computing;2019-12-02