A Fuzzy Multi-objective Linear Programming Model Based on Interval-valued Intuitionistic Fuzzy Sets for Supplier Selection

2016 ◽  
Vol 18 (5) ◽  
pp. 864-874 ◽  
Author(s):  
Afsane Afzali ◽  
Marjan Kuchaki Rafsanjani ◽  
Arsham Borumand Saeid
Keyword(s):  
Linear Programming ◽  
Fuzzy Sets ◽  
Supplier Selection ◽  
Programming Model ◽  
Intuitionistic Fuzzy Sets ◽  
Linear Programming Model ◽  
Multi Objective ◽  
Model Based ◽  
Intuitionistic Fuzzy ◽  
Interval Valued

scholarly journals AN INCLUSION COMPARISON APPROACH FOR MULTIPLE CRITERIA DECISION ANALYSIS BASED ON INTERVAL-VALUED INTUITIONISTIC FUZZY SETS

2015 ◽  
Vol 22 (3) ◽  
pp. 357-392 ◽  
Author(s):  
Ting-Yu CHEN
Keyword(s):  
Decision Analysis ◽  
Fuzzy Sets ◽  
Programming Model ◽  
Intuitionistic Fuzzy Sets ◽  
Multiple Criteria ◽  
Multiple Criteria Decision Analysis ◽  
Intuitionistic Fuzzy ◽  
Nonlinear Programming Model ◽  
Ranking Order ◽  
Interval Valued

The theory of interval-valued intuitionistic fuzzy sets provides an intuitive and feasible way of addressing uncertain and ambiguous properties. Many useful models and methods have been developed for multiple criteria decision analysis within the interval-valued intuitionistic fuzzy environment. In contrast to the elaborate existing methods, this paper establishes a simple and effective method for managing the sophisticated data expressed by interval-valued intuitionistic fuzzy sets. An inclusion comparison possibility defined on interval-valued intuitionistic fuzzy sets is proposed, and some important properties are investigated. Then, an inclusion-based index that considers positive and negative ideals is offered. Considering the maximal comprehensive inclusion-based indices, this paper constructs a linear programming model (for consistent information) and an integrated, nonlinear programming model (for inconsistent information) to estimate the criterion weights and the optimal ranking order of the alternatives under an incomplete preference structure. The feasibility of the proposed method is illustrated by a practical example of selecting a suitable bridge construction method, and a comparative analysis with other relevant methods is conducted to validate the effectiveness and applicability of the proposed methodology.

scholarly journals A Novel MADM Approach Based on Fuzzy Cross Entropy with Interval-Valued Intuitionistic Fuzzy Sets

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Xin Tong ◽  
Liying Yu
Keyword(s):  
Fuzzy Sets ◽  
Programming Model ◽  
Intuitionistic Fuzzy Sets ◽  
Cross Entropy ◽  
Ideal Solution ◽  
Attribute Weights ◽  
Intuitionistic Fuzzy ◽  
Relative Closeness ◽  
Multiple Attribute ◽  
Interval Valued

The paper presents a novel multiple attribute decision-making (MADM) approach for the problem with completely unknown attribute weights in the framework of interval-valued intuitionistic fuzzy sets (IVIFS). First, the fuzzy cross entropy and discrimination degree of IVIFS are defied. Subsequently, based on the discrimination degree of IVIFS, a nonlinear programming model to minimize the total deviation of discrimination degrees between alternatives and the positive ideal solution PIS as well as the negative ideal solution (NIS) is constructed to obtain the attribute weights and, then, the weighted discrimination degree. Finally, all the alternatives are ranked according to the relative closeness coefficients using the extended TOPSIS method, and the most desirable alternative is chosen. The proposed approach extends the research method of MADM based on the IVIF cross entropy. Finally, we illustrate the feasibility and validity of the proposed method by two examples.

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