A New Priority Method for Triangular Fuzzy Number Complementary Judgment Matrix

2007 ◽  
Author(s):  
Xuelan Zeng ◽  
Fanyong Meng ◽  
Meihua Chen
Keyword(s):  
Fuzzy Number ◽  
Triangular Fuzzy Number ◽  
Priority Method ◽  
Judgment Matrix

Research on Airport Site Selection Based on Triangular Fuzzy Number

2014 ◽  
Vol 505-506 ◽  
pp. 507-511 ◽  
Author(s):  
Yong Liao ◽  
Fen Bao
Keyword(s):  
Decision Making ◽  
Site Selection ◽  
Fuzzy Number ◽  
First Grade ◽  
Triangular Fuzzy Number ◽  
Final Evaluation ◽  
Fuzzy Decision Making ◽  
Degree Of Dominance ◽  
Judgment Matrix ◽  
Airport Site

The problem of airport site selection involves many influence factors; it belongs to multi-attribute decision-making problem. In order to solve the problem, fuzzy decision-making thesis is introduced. Firstly evaluation criteria system is established which consist of 4 first-grade criteria including execution conditions, operation conditions, operation supports, social and economic conditions. Secondly, triangular fuzzy number is introduced into representing the evaluation value of different alternatives in the decision matrix by several experts. The final evaluation value of each alterative is achieved after considering weight of each expert and weight of each criterion. In order to rank final evaluation value expressed by triangular fuzzy number, the degree of dominance between alternatives is defined by the way of difference of two triangular fuzzy numbers. The complementary judgment matrix expressed by crisp number is built up on degree of dominance between alternatives. The ordering vector of alternatives, which is eigenvector, is figured out from complementary judgment matrix. At last, a numeric example is made to demonstrate the method proposed in this paper is effective and feasible.

scholarly journals Fuzzy Similar Priority Method for Mixed Attributes

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Jinshan Ma ◽  
Changsheng Ji ◽  
Jing Sun
Keyword(s):  
Real Number ◽  
Fuzzy Number ◽  
Triangular Fuzzy Number ◽  
Interval Number ◽  
Ratio Method ◽  
Improved Method ◽  
Trapezoidal Fuzzy Number ◽  
Specific Object ◽  
Priority Method

Fuzzy similar priority ratio method is to select the most suitable one to the specific object from feasible alternatives. However, this method considering only the index values of real number has its disadvantages of inaccuracy in result and complexity in calculation. So, this method was extended to handle mixed attributes including real number, interval number, triangular fuzzy number, and trapezoidal fuzzy number. The proposed method decides the optimal alternative by the minimum of integrated nearness degrees calculated by all index vectors and the fixed index vectors based on the theory of similarity. The improved method can not only address mixed attributes but also simplify the calculation and improve the accuracy of result. A case study illustrated this method.

Construction Project Bid Evaluation of Group Decision-Making Model Based on Triangular Fuzzy Number

2013 ◽  
Vol 405-408 ◽  
pp. 3451-3454
Author(s):  
Ming Xuan Zhang ◽  
Dong Lei Zhang
Keyword(s):  
Decision Making ◽  
Membership Function ◽  
Group Decision Making ◽  
Fuzzy Number ◽  
Group Decision ◽  
Comprehensive Evaluation ◽  
Fuzzy Comprehensive Evaluation ◽  
Triangular Fuzzy Number ◽  
Bid Evaluation ◽  
Decision Making Model

A new comprehensive evaluation based on triangular fuzzy number method is put forward in this paper, according to the principle of fuzzy comprehensive evaluation and using trichotomy to determine membership function. And a calculation example is illustrated by using the method presented. The method is a reference to the bid evaluation in the future.

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