4.7 Article

On comparing interval numbers

Journal

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 127, Issue 1, Pages 28-43

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/S0377-2217(99)00319-7

Keywords

interval numbers; order relation; fuzzy preference ordering; decision

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This paper first presents a brief survey of the existing works on comparing and ranking any two interval numbers on the real line and then, on the basis of this, gives two approaches to compare any two interval numbers. The first one describes a value judgement index along with a discussion on its strength and weakness over the other approaches. This index has also been called an optimistic decision maker's preference index. The other approach defines strict and fuzzy preference ordering between any two interval numbers from a pessimistic decision maker's point of view. Choice of different decision makers with different degrees of pessimism has also been considered. (C) 2000 Elsevier Science B.V. All rights reserved.

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