Intuitionistic Judgment Matrix Research Articles

Approaches to Multiple Attribute Decision Making with Intuitionistic Fuzzy Preference Information

Abstract The fuzzy multiple attribute decision making problems are investigated, in which the attribute values are given as intuitionistic fuzzy numbers and the preference information on alternatives can be provided by decision maker. For the situations where the preference information on alternatives is expressed in intuitionistic judgment matrix and the information on attribute weights is incomplete, the concepts of additive consistent intuitionistic judgment matrix, multiplicative consistent intuitionistic judgment matrix and score matrix of intuitionistic fuzzy decision matrix are defined. On the basis of the score matrix and intuitionistic judgment matrix, some simple linear programming models are established by using two transformation functions, from which the attribute weights can be derived. Then two approaches to multiple attribute decision making with intuitionistic fuzzy preference information are proposed. Finally, a practical example is used to show the processes of calculation of the developed approaches and to verify their effectiveness.

Approach to Group Decision Making Based on Interval-Valued Intuitionistic Judgment Matrices

Abstract In this article, the ordered weighted aggregation operator and hybrid aggregation operator are developed for aggregating interval-valued intuitionistic preference information. Interval-valued intuitionistic judgment matrix and its score matrix and accuracy matrix are defined. Some of their desirable properties are investigated in detail. The relationships among interval-valued intuitionistic judgment matrix, intuitionistic judgment matrix, and complement judgment matrix, are discussed. On the basis of the arithmetic aggregation operator and hybrid aggregation operator, an approach to group decision making with interval-valued intuitionistic judgment matrices is given. Finally, a practical example is provided to verify the effectiveness of the developed approach.