Geometric Least Square Models for Deriving -Valued Interval Weights from Interval Fuzzy Preference Relations Based on Multiplicative Transitivity

Xuan Yang and Zhou-Jing Wang

Mathematical Problems in Engineering, 2015, vol. 2015, 1-12

Abstract:

This paper presents a geometric least square framework for deriving -valued interval weights from interval fuzzy preference relations. By analyzing the relationship among -valued interval weights, multiplicatively consistent interval judgments, and planes, a geometric least square model is developed to derive a normalized -valued interval weight vector from an interval fuzzy preference relation. Based on the difference ratio between two interval fuzzy preference relations, a geometric average difference ratio between one interval fuzzy preference relation and the others is defined and employed to determine the relative importance weights for individual interval fuzzy preference relations. A geometric least square based approach is further put forward for solving group decision making problems. An individual decision numerical example and a group decision making problem with the selection of enterprise resource planning software products are furnished to illustrate the effectiveness and applicability of the proposed models.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:180892

DOI: 10.1155/2015/180892

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