Fuzzy Coefficients and Fuzzy Preference Relations in Models of Decision Making
نویسندگان
چکیده
Analysis of 〈X,R〉 models is considered as part of a general approach to solving optimization problems with fuzzy coefficients. This approach involves a modification of traditional optimization methods and is associated with formulating and solving one and the same problem within the framework of mutually interrelated models by constructing equivalent analogs with fuzzy coefficients in objective functions alone. The use of the approach allows one to maximally cut off dominated alternatives. The subsequent contraction of the decision uncertainty region is based on reducing the problem to multiobjective choice of alternatives in a fuzzy environment. Three techniques for processing of fuzzy preference relations reflecting criteria of quantitative as well as qualitative character are discussed. The results of the paper are universally applicable and are already being used to solve power engineering problems. 2005 Elsevier Ltd. All rights reserved.
منابع مشابه
INCOMPLETE INTERVAL-VALUED HESITANT FUZZY PREFERENCE RELATIONS IN DECISION MAKING
In this article, we propose a method to deal with incomplete interval-valuedhesitant fuzzy preference relations. For this purpose, an additivetransitivity inspired technique for interval-valued hesitant fuzzypreference relations is formulated which assists in estimating missingpreferences. First of all, we introduce a condition for decision makersproviding incomplete information. Decision maker...
متن کاملUNCERTAINTY DATA CREATING INTERVAL-VALUED FUZZY RELATION IN DECISION MAKING MODEL WITH GENERAL PREFERENCE STRUCTURE
The paper introduces a new approach to preference structure, where from a weak preference relation derive the following relations:strict preference, indifference and incomparability, which by aggregations and negations are created and examined. We decomposing a preference relation into a strict preference, anindifference, and an incomparability relation.This approach allows one to quantify diff...
متن کاملModels for Weighted Aggregation of Fuzzy Relations to Multicriteria Decision Making Problems
Aggregation of fuzzy relations on alternatives with the help of aggregation operators is considered in two cases: – the weighted coefficients of the criteria are not present in the mathematical formula of the aggregation operators; – a fuzzy preference relation between the criteria importance is given. The main result consists in proving the properties of the aggregated relation in dependence w...
متن کاملLinguistic multiperson decision making based on the use of multiple preference relations
In multiperson decision making situations, it is quite natural that different decision makers who may have different background and knowledge will provide their preferences by different kinds of preference relations. This paper proposes a linguistic multiperson decision making model (LMDMM) based on linguistic preference relations, integrating fuzzy preference relations, different types of mult...
متن کاملMulti-criteria Decision Making Using Fuzzy Preference Relations
When dealing with multi-criteria decision making problems, the concept of Pareto-optimality and Pareto-dominance may be inefficient (e.g. generally multiple solutions exist), especially when there is a large number of criteria. Our paper considers the fuzzy multi-criteria decision making problem based on Zadeh’s linguistic approach to P-optimality and P-dominance. The construction, analysis and...
متن کاملComparing uncertainty data in epistemic and ontic sense used to decision making problem
In the paper aspect of comparability alternatives in decision making problem by imprecise or incomplete information isexamined. In particular, new definitions of transitivity based on the measure of the intensity preference between pairsof alternatives in epistemic and ontic case is presented and its application to solve decision making problem is proposed.
متن کامل