Supplier selection and evaluation using interval-valued intuitionistic fuzzy AHP method

2017 ◽  
Vol 10 (5) ◽  
pp. 539 ◽  
Author(s):  
Hossein Sayyadi Tooranloo ◽  
Asiyeh Iranpour
Keyword(s):  
Supplier Selection ◽  
Fuzzy Ahp ◽  
Ahp Method ◽  
Intuitionistic Fuzzy ◽  
Interval Valued

Interval-valued intuitionistic fuzzy multiple attribute decision making and their applications

2021 ◽  
Vol 25 (2) ◽  
pp. 251-277
Author(s):  
Hong-Jun Wang
Keyword(s):  
Supplier Selection ◽  
Fuzzy Numbers ◽  
Multiple Attribute Decision Making ◽  
Green Supply Chain Management ◽  
Green Supply Chain ◽  
Intuitionistic Fuzzy Numbers ◽  
Intuitionistic Fuzzy ◽  
Operator Interval ◽  
Multiple Attribute ◽  
Interval Valued

In this paper, we expand the Muirhead mean (MM) operator and dual Muirhead mean (DMM) operator with interval-valued intuitionistic fuzzy numbers (IVIFNs) to propose the interval -valued intuitionistic fuzzy Muirhead mean (IVIFMM) operator, interval-valued intuitionistic fuzzy weighted Muirhead mean (IVIFWMM) operator, interval-valued intuitionistic fuzzy dual Muirhead mean (IVIFDMM) operator and interval-valued intuitionistic fuzzy weighted dual Muirhead mean (IVIFWDMM) operator. Then the MADM methods are proposed with these operators. In the end, we utilize an applicable example for green supplier selection in green supply chain management to prove the proposed methods.

scholarly journals A Novel Portfolio Based on Interval-Valued Intuitionistic Fuzzy AHP with Improved Combination Weight Method and New Score Function

2021 ◽  
Author(s):  
Xue Deng ◽  
Fengting Geng ◽  
Jianxin Yang
Keyword(s):  
Mathematical Proof ◽  
Fuzzy Ahp ◽  
Score Function ◽  
Decision Matrix ◽  
Entropy Weight ◽  
Analytic Hierarchy ◽  
Weighting Method ◽  
Score Functions ◽  
Intuitionistic Fuzzy ◽  
Interval Valued

Abstract The classical Analytic Hierarchy Process (AHP) requires an exact value to compare the relative importance of two attributes, but experts often can not obtain an accurate assessment of every attribute in the decision-making process, there are always some uncertainty and hesitation. Compared with classical AHP, our new defined interval-valued intuitionistic fuzzy AHP has accurately descripted the vagueness and uncertainty. In decision matrix, the real numbers are substituted by fuzzy numbers. In addition, each expert will make different evaluations according to different experiences for each attribute in the subjective weighting method, which neglects objective factors and then generates some deviations in some cases. This paper provides two ways to make up for this disadvantage. On the one hand, by combining the interval-valued intuitionistic fuzzy AHP with entropy weight, an improved combination weighting method is proposed, which can overcome the limitations of unilateral weighted method only considering the objective or subjective factors. On the other hand, a new score function is presented by adjusting the parameters, which can overcome the invalidity of some existing score functions. In theory, some theorems and properties for the new score functions are given with strictly mathematical proof to validate its rationality and effectiveness. In application, a novel fuzzy portfolio is proposed based on the improved combination weighted method and new score function. A numerical example shows that these results of our new score function are consistent with those of most existing score functions, which verifies that our model is feasible and effective.

scholarly journals A NOVEL HESITANT INTUITIONISTIC FUZZY LINGUISTIC AHP METHOD AND ITS APPLICATION TO PRIORITIZATION OF INVESTMENT ALTERNATIVES

2019 ◽  
Vol 11 (1) ◽  
pp. 127-142 ◽  
Author(s):  
Ali Karasan
Keyword(s):  
Fuzzy Sets ◽  
Fuzzy Ahp ◽  
Decision Makers ◽  
Membership Degree ◽  
Intuitionistic Fuzzy Number ◽  
Ahp Method ◽  
Intuitionistic Fuzzy ◽  
The Stability ◽  
Fuzzy Linguistic ◽  
Hierarchy Process

Intuitionistic fuzzy extensions are the most used type of fuzzy extensions in the literature since they better represent decision makers strength of commitment on the considered subject in an effective way including membership and non-membership functions. On the other hand, decision makers may assign more than one intuitionistic fuzzy number in order to capture their hesitancies when they are hesitant in assigning a membership degree and a non-membership degree. Hesitant fuzzy sets, another extension of ordinary fuzzy sets, help decision makers to assign different values on the same element aiming at reflexing decision makers’ hesitation. Utilizing these two types of fuzzy sets capture both uncertainty and ambiguity of the considered problem and helps to eliminate the weaknesses of each fuzzy extension. In this study,hesitant intuitionistic fuzzy linguistic sets (HIFLSs) are used to extend the Analytical Hierarchy Process (AHP). The developed method is applied to investment prioritization problem, based on relevant risk factors. Comparative analyses with intuitionistic fuzzy AHP and hesitant fuzzy AHP methods are realized in order to validate the proposed method. A sensitivity analysis is also conducted for the stability of the results of the hesitant intuitionistic fuzzy linguistic AHP method.

Sign in / Sign up

Export Citation Format

Share Document