Goal programming approaches to obtain the priority vectors from the intuitionistic fuzzy preference relations

Authors:
Zai-Wu Gong;Lian-Shui Li;Fei-Xue Zhou;Tian-Xiang Yao
Affiliations:
College of Economics and Management, Nanjing University of Information Science and Technology, Nanjing 210044, China;College of Economics and Management, Nanjing University of Information Science and Technology, Nanjing 210044, China;College of Economics and Management, Nanjing University of Information Science and Technology, Nanjing 210044, China;College of Economics and Management, Nanjing University of Information Science and Technology, Nanjing 210044, China
Venue:
Computers and Industrial Engineering
Year:
2009

Citing 14
Cited 14

Intuitionistic fuzzy sets

Fuzzy Sets and Systems
Vague sets are intuitionistic fuzzy sets

Fuzzy Sets and Systems
Strong transitivity, rationality and weak monotonicity in fuzzy pairwise comparisons

Fuzzy Sets and Systems
A note on the fuzzy extension of Saaty's priority theory

Fuzzy Sets and Systems
Multiattribute decision making models and methods using intuitionistic fuzzy sets

Journal of Computer and System Sciences
Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets

Journal of Computer and System Sciences
Intuitionistic preference relations and their application in group decision making

Information Sciences: an International Journal
Fuzzy preference relations: Aggregation and weight determination

Computers and Industrial Engineering
A linear goal programming priority method for fuzzy analytic hierarchy process and its applications in new product screening

International Journal of Approximate Reasoning
A fuzzy extension of Saaty's priority theory

Fuzzy Sets and Systems
A method for repairing the inconsistency of fuzzy preference relations

Fuzzy Sets and Systems
Intuitionistic Fuzzy Sets: Theory and Applications

Intuitionistic Fuzzy Sets: Theory and Applications
A new concept of a similarity measure for intuitionistic fuzzy sets and its use in group decision making

MDAI'05 Proceedings of the Second international conference on Modeling Decisions for Artificial Intelligence
General IF-sets with triangular norms and their applications to group decision making

Information Sciences: an International Journal

On compatibility of uncertain additive linguistic preference relations and its application in the group decision making

Knowledge-Based Systems
A comparative analysis of score functions for multiple criteria decision making in intuitionistic fuzzy settings

Information Sciences: an International Journal
Some programming models to derive priority weights from additive interval fuzzy preference relation

Knowledge-Based Systems
A linguistic evaluation approach for universal design

Information Sciences: an International Journal
Group decision making based on generalized intuitionistic fuzzy prioritized geometric operator

International Journal of Intelligent Systems
A comparative study of optimistic and pessimistic multicriteria decision analysis based on atanassov fuzzy sets

Applied Soft Computing
A hybrid fuzzy multiple criteria group decision making approach for sustainable project selection

Applied Soft Computing
Some intuitionistic fuzzy Einstein hybrid aggregation operators and their application to multiple attribute decision making

Knowledge-Based Systems
The induced linguistic continuous ordered weighted geometric operator and its application to group decision making

Computers and Industrial Engineering
An approach for multiple attribute group decision making problems with interval-valued intuitionistic trapezoidal fuzzy numbers

Computers and Industrial Engineering
Solving multi-period project selection problems with fuzzy goal programming based on TOPSIS and a fuzzy preference relation

Information Sciences: an International Journal
On compatibility of uncertain multiplicative linguistic preference relations based on the linguistic COWGA

Applied Intelligence
Models for multiple attribute decision making based on the Einstein correlated aggregation operators with interval-valued intuitionistic fuzzy information

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Incomplete preference relations: An upper bound condition

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

Quantified Score

Hi-index	0.00

Visualization

Abstract

The priority method on the intuitionistic fuzzy preference relation (IFPR) is proposed. In order to avoid the operational difficulty in dealing with the intuitionistic sets, the equivalent interval matrices of the IFPR are introduced. Based on the multiplicative consistent definition of the fuzzy interval preference relation (FIPR), the goal programming models for deriving the priority vector of the IFPR have been put forward by analyzing the relation between the IFNPR and the IFPR. This goal programming method is generalized to the case of group decision making with the weight information defined by each DM. Two numerical examples are provided to illustrate the application of the proposed models.