A novel method for decision making based on triangular fuzzy number

2009 ◽  
Author(s):  
Yong Liao
Keyword(s):  
Decision Making ◽  
Fuzzy Number ◽  
Triangular Fuzzy Number ◽  
Novel 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.

scholarly journals Relative Similarity Programming Model for Uncertain Multiple Attribute Decision-Making Objects and Its Application

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Zhili Huang ◽  
Qinglan Chen ◽  
Liu Chen ◽  
Qinyuan Liu
Keyword(s):  
Decision Making ◽  
Fuzzy Number ◽  
Programming Model ◽  
Weight Vector ◽  
Multiple Attribute Decision Making ◽  
Triangular Fuzzy Number ◽  
Similarity Degree ◽  
Multiple Attribute ◽  
Model Algorithm ◽  
Relative Similarity

This paper is concerned with the uncertain multiattribute decision-making (UMADM) of which the attribute value is triangular fuzzy number. Firstly, the max-relative similarity degree and min-relative similarity degree of alternative decision-making objects are given based on the relative similarity degree of triangular fuzzy number, the advantage relation theories to comparative relative similarity degree of triangular fuzzy number are proposed, and some good properties, relations, and conclusions are derived. Secondly, in order to determine the attribute weight vector, a triangular fuzzy number-based decision-making object relative similarity programming model is established with the help of maximizing possibility degree algorithm rules in the cooperative game theory. Subsequently, by aggregating the comparison overall relative similarity degree values of all decision-making objects, we could pick over and sort the set of alternative objects and gather a new model algorithm for the relative similarity programming of triangular fuzzy number-based multiple attribute decision-making alternatives. Finally, an example is given to illustrate the feasibility and practicability of the model algorithm presented in this paper.

METHOD FOR AGGREGATING TRIANGULAR FUZZY INTUITIONISTIC FUZZY INFORMATION AND ITS APPLICATION TO DECISION MAKING / NUMANOMŲ NEAPIBRĖŽTŲJŲ AIBIŲ TEORIJA IR JOS TAIKYMAS PRIIMANT SPRENDIMUS

2010 ◽  
Vol 16 (2) ◽  
pp. 280-290 ◽  
Author(s):  
Xin Zhang ◽  
Peide Liu
Keyword(s):  
Decision Making ◽  
Fuzzy Number ◽  
Intuitionistic Fuzzy Set ◽  
Score Function ◽  
Triangular Fuzzy Number ◽  
Membership Degree ◽  
Intuitionistic Fuzzy Numbers ◽  
Intuitionistic Fuzzy ◽  
Weighted Arithmetic ◽  
Operation Rules

On the foundation of the theory of the intuitionistic fuzzy set, this paper uses the triangular fuzzy number to denote the membership degree and the non‐membership degree and proposes the triangular intuitionistic fuzzy number. Then the operation rules of triangular intuitionistic fuzzy numbers are defined. The weighted arithmetic averaging operator and the weighted geometric average operator are presented and used to the decision making area after defined the score function and the accuracy function. An effective solution is offered for multi‐attitude decision‐making problem and an active try is made. Santrauka Remiantis numanomų neapibrežtųjų aibių teorija, šiame straipsnyje aprašomas trečiojo laipsnio neapibrežtasis skaičius, apibūdinantis priklausomumo laipsni. Toliau nustatomos operavimo su tokiais skaičiais taisyklės. Pasiūlytas svertinis aritmetinio vidurkio operatorius, naudojamas priimant sprendimus. Siūlomi efektyvūs daugiaaspekčių problemų sprendimo būdai.

scholarly journals Systematic Review of Decision Making Algorithms in Extended Neutrosophic Sets

Symmetry ◽  
2018 ◽  
Vol 10 (8) ◽  
pp. 314 ◽  
Author(s):  
Mohsin Khan ◽  
Le Hoang Son ◽  
Mumtaz Ali ◽  
Hoang Thi Minh Chau ◽  
Nguyen Thi Nhu Na ◽  
...  
Keyword(s):  
Systematic Review ◽  
Decision Making ◽  
Fuzzy Number ◽  
Daily Life ◽  
Triangular Fuzzy Number ◽  
Neutrosophic Set ◽  
Neutrosophic Sets ◽  
Inconsistent Information ◽  
Mathematical Properties ◽  
Interval Neutrosophic Sets

The Neutrosophic set (NS) has grasped concentration by its ability for handling indeterminate, uncertain, incomplete, and inconsistent information encountered in daily life. Recently, there have been various extensions of the NS, such as single valued neutrosophic sets (SVNSs), Interval neutrosophic sets (INSs), bipolar neutrosophic sets (BNSs), Refined Neutrosophic Sets (RNSs), and triangular fuzzy number neutrosophic set (TFNNs). This paper contains an extended overview of the concept of NS as well as several instances and extensions of this model that have been introduced in the last decade, and have had a significant impact in literature. Theoretical and mathematical properties of NS and their counterparts are discussed in this paper as well. Neutrosophic-set-driven decision making algorithms are also overviewed in detail.

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.

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