Intuitionistic fuzzy AHP based reliability allocation model for multi-software system

2021 ◽  
Vol 11 (2/3) ◽  
pp. 240
Author(s):  
Vibha Verma ◽  
Sameer Anand ◽  
Anu G. Aggarwal
Keyword(s):  
Fuzzy Ahp ◽  
Software System ◽  
Allocation Model ◽  
Reliability Allocation ◽  
Intuitionistic Fuzzy

A Distance-based Method for Computing Priorities of Intuitionistic Fuzzy Preference Relation and Its Application in AHP

2019 ◽  
Vol 23 (4) ◽  
pp. 329-340
Author(s):  
Akshay Hinduja ◽  
Manju Pandey
Keyword(s):  
Fuzzy Set ◽  
Fuzzy Ahp ◽  
Preference Relation ◽  
Intuitionistic Fuzzy Set ◽  
Analytic Hierarchy ◽  
Intuitionistic Fuzzy ◽  
Course Of Action ◽  
Fuzzy Preference Relations ◽  
Priority Method ◽  
Fuzzy Preference

The notion of multi-criteria decision-making is regarded as the process of finding the best possible alternative or course of action by decision-makers. Often, it entails handling vague, incomplete and inconsistent information. The intuitionistic fuzzy set (IFS) has been proven more effective than a fuzzy set in handling vagueness and uncertainty. The aim of the article is to incorporate the effectiveness of the IFS with the powerfulness of the analytic hierarchy process (AHP) and develop intuitionistic fuzzy AHP (IF-AHP) to cope with the decision problems involving imprecise and hesitant information. In this article, we develop a distance-based novel priority method, which derives unambiguous non-fuzzy priorities of the alternatives from intuitionistic fuzzy preference relations (IFPRs). The proposed priority method is simple in computation yet effective in results. To validate the method, we applied it to the adapted supplier selection problem. This article also presents a comparison of the proposed method with classic and fuzzy AHP using Monte-Carlo simulation approach.

Intuitionistic Fuzzy AHP and its Application in Evaluation of Ecological Architecture

2012 ◽  
Vol 518-523 ◽  
pp. 4466-4472 ◽  
Author(s):  
Hao Zhang ◽  
Wei Xia Li ◽  
Cheng Yi Zhang
Keyword(s):  
Fuzzy Ahp ◽  
Relative Importance ◽  
Analytic Hierarchy ◽  
Additive Consistency ◽  
Intuitionistic Fuzzy ◽  
Judgement Matrix ◽  
The Matrix ◽  
Addition And Subtraction ◽  
Definition Of ◽  
Hierarchy Process

In this paper, the definition of additive consistent intuitionistic fuzzy complementary judgement matrix (ACIFCJM) was given; The addition and subtraction algorithms of intuitionistic fuzzy value representing the relative importance degree in the matrix were given, then the definition of the scale transition matrix of intuitionistic fuzzy complementary judgement matrix (IFCJM) was given; The additive consistency recursive iterative adjustment algorithm about the IFCJM was given, then priority vectors formula of IFCJM was introduced; At last, the steps of intuitionistic fuzzy analytic hierarchy process (IFAHP) were introduced, then the method was applied in actual examples, and its effectiveness was verified.

Reliability Analysis of CNC Machine Tools Based on Fuzzy Theory

2015 ◽  
Vol 713-715 ◽  
pp. 7-10 ◽  
Author(s):  
Li Tao
Keyword(s):  
Machine Tools ◽  
Comprehensive Evaluation ◽  
Fuzzy Theory ◽  
Fuzzy Comprehensive Evaluation ◽  
Cnc Machine Tools ◽  
Uncertain Information ◽  
Cnc Machine ◽  
Allocation Model ◽  
Reliability Allocation ◽  
Allocation Method

There are many factors influencing the reliability allocation of CNC machine tools and some are difficult to analyze quantitatively, a comprehensive reliability allocation method is proposed using interval analysis, fuzzy comprehensive evaluation and analytic hierarchy process. Many influence factors were considered and endowed with different weight respectively according to the influence degree. In this paper, a reliability allocation model is proposed for CNC machine tools, which used interval number instead of real number to express uncertain information. It could make use of the field test information and experts’ experience comprehensively. Finally, the application of this method is illustrated with an example, and the results showed that the allocation method is feasible and effective for the reliability allocation of CNC machine tools.

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.

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