Paper Info
Title
Fuzzy mathematical programming approach to heterogeneous multiattribute decision-making with interval-valued intuitionistic fuzzy truth degrees
Abstract
Formulate multiple types of attribute values and heterogeneous MADM problems.Propose mathematical programming method with IVIFSs from multiobjective programming.Approach to handle with incomplete information and fuzziness of alternative comparisons. Considering the hesitancy degrees on pair-wise comparisons of alternatives as interval-valued intuitionistic fuzzy (IVIF) sets (IVIFSs), we develop a new fuzzy mathematical programming method for solving heterogeneous multiattribute decision-making problems based on the Linear Programming Technique for Multidimensional Analysis of Preference. In this method, IVIFSs, intuitionistic fuzzy sets (IFSs), trapezoidal fuzzy numbers, linguistic variables, intervals and real numbers are used to represent multiple types of attribute values and the attribute weights are not completely known. The preference relations between alternatives given by decision maker are expressed with IVIFSs of ordered pairs of alternatives. The consistency and inconsistency indices are defined as IVIFSs on the basis of comparisons of alternatives with IVIF truth degrees. The attribute weights and fuzzy ideal solution (FIS) are estimated through constructing a fuzzy mathematical programming model, which is solved by the technically developed method of IVIF mathematical programming. Hereby the distances of alternatives to the FIS are computed to rank the alternatives. Some generalization and discussion on the constructed IVIF mathematical programming model are also presented. A green supplier selection example is provided to illustrate the effectiveness of the proposed model and method. The comparison analyses verify the superiorities of the proposed method.
Year
DOI
Venue
2015
10.1016/j.ins.2015.07.014
Information Sciences
Keywords
Field
DocType
Multiattribute decision-making,Fuzzy mathematical programming,Interval-valued intuitionistic fuzzy set,Linear Programming Technique for Multidimensional Analysis of Preference,Green supply chain
Discrete mathematics,Mathematical optimization,Fuzzy logic,Multidimensional analysis,Ordered pair,Fuzzy set,Linear programming,Fuzzy number,Real number,Mathematics,Complete information
Journal
Volume
Issue
ISSN
325
C
0020-0255
Citations 
PageRank 
References 
41
0.99
23
Authors
2
Name
Order
Citations
PageRank
Shu-Ping Wan146425.91
Deng-Feng Li296846.12