A New Method of Multiple Attributes Evaluation and Selection in Fuzzy Environment

2015 ◽  
pp. 243-252
Author(s):  
Xiao-yan Zhai
Keyword(s):  
New Method ◽  
Fuzzy Environment ◽  
Multiple Attributes

scholarly journals TODIM Method for Multiple Attribute Group Decision Making under 2-Tuple Linguistic Neutrosophic Environment

Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 486 ◽  
Author(s):  
Jie Wang ◽  
Guiwu Wei ◽  
Mao Lu
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
New Method ◽  
Calculating Method ◽  
Fuzzy Environment ◽  
Operational Laws ◽  
Multiple Attribute ◽  
Todim Method ◽  
Magdm Problems

In this article, we extend the original TODIM (Portuguese acronym for Interactive Multi-Criteria Decision Making) method to the 2-tuple linguistic neutrosophic fuzzy environment to propose the 2TLNNs TODIM method. In the extended method, we use 2-tuple linguistic neutrosophic numbers (2TLNNs) to present the criteria values in multiple attribute group decision making (MAGDM) problems. Firstly, we briefly introduce the definition, operational laws, some aggregation operators and the distance calculating method of 2TLNNs. Then, the calculation steps of the original TODIM model are presented in simplified form. Thereafter, we extend the original TODIM model to the 2TLNNs environment to build the 2TLNNs TODIM model, our proposed method, which is more reasonable and scientific in considering the subjectivity of DM’s behaviors and the dominance of each alternative over others. Finally, a numerical example for the safety assessment of a construction project is proposed to illustrate the new method, and some comparisons are also conducted to further illustrate the advantages of the new method.

A New Grade Method on Project Bid Evaluation

2011 ◽  
Vol 243-249 ◽  
pp. 6400-6403
Author(s):  
Hao Liu ◽  
Shu Ying Qu ◽  
Shu Mei Cui ◽  
Fang Wei Zhang
Keyword(s):  
Decision Theory ◽  
Computer Processing ◽  
New Method ◽  
Evaluation Team ◽  
Development Zone ◽  
Average Value ◽  
Grade Method ◽  
Bid Evaluation ◽  
Multiple Attributes ◽  
Excavation Support

In bid evaluation, the regular grade method on the grade items is that the grade message is composed of average value after throwing away the highest and lowest value, which essence is considered that the expert’s weight is zeroed. It is pointed the processing is too simple and unable to deal with all kinds of problems effectively in the match. Basing on numerical statistics, referencing multiple attributes and comprehensive decision theory, a grade method is put forward to empower expert weight. The method according to the results consistence of the expert grade determines the grade weight, then correcting their grade weight to each specific bid, fully using all grade message coming from the bid evaluation team. Its computation is simple and easy to computer processing. So it has larger practical value. Last, the new method is used in bid evaluation on excavation support project located in Wenchang Garden, Yantai Development Zone. It shows the practical value of this method.

scholarly journals Ranking Fuzzy Numbers with a Distance Method using Circumcenter of Centroids and an Index of Modality

2011 ◽  
Vol 2011 ◽  
pp. 1-7 ◽  
Author(s):  
P. Phani Bushan Rao ◽  
N. Ravi Shankar
Keyword(s):  
Decision Making ◽  
Decision Maker ◽  
Satisfactory Result ◽  
Fuzzy Numbers ◽  
New Method ◽  
Triangular Fuzzy Numbers ◽  
Distance Method ◽  
Fuzzy Environment ◽  
Index Of Optimism

Ranking fuzzy numbers are an important aspect of decision making in a fuzzy environment. Since their inception in 1965, many authors have proposed different methods for ranking fuzzy numbers. However, there is no method which gives a satisfactory result to all situations. Most of the methods proposed so far are nondiscriminating and counterintuitive. This paper proposes a new method for ranking fuzzy numbers based on the Circumcenter of Centroids and uses an index of optimism to reflect the decision maker's optimistic attitude and also an index of modality that represents the neutrality of the decision maker. This method ranks various types of fuzzy numbers which include normal, generalized trapezoidal, and triangular fuzzy numbers along with crisp numbers with the particularity that crisp numbers are to be considered particular cases of fuzzy numbers.

Trapezoidal fuzzy model to optimize transportation problem

2016 ◽  
Vol 07 (03) ◽  
pp. 1650028 ◽  
Author(s):  
Nirbhay Mathur ◽  
Pankaj Kumar Srivastava ◽  
Ajit Paul
Keyword(s):  
Transportation Problem ◽  
Fuzzy Numbers ◽  
Fuzzy Model ◽  
Optimal Solution ◽  
Transportation Cost ◽  
New Method ◽  
Trapezoidal Fuzzy Numbers ◽  
North West ◽  
Fuzzy Environment ◽  
Practical Usefulness

The main aim of this paper is to develop an approach based on trapezoidal fuzzy numbers to optimize transportation problem in fuzzy environment. The present algorithm has representation of availability, demand and transportation cost as trapezoidal fuzzy numbers. This algorithm is found quicker in terms of runtime as comparison to fuzzy VAM discussed in [Kaur A., Kumar A., A new method for solving fuzzy transportation problem using ranking function, Appl. Math. Model. 35:5652–5661, 2011; Ismail Mohideen S., Senthil Kumar P., A comparative study on transportation problem in fuzzy environment, Int. J. Math. Res. 2:151–158, 2010]. On the other hand this technique gives much better results than some classical methods like north-west corner and least cost method. Another benefit of this algorithm is that for certain transportation problems it directly gives optimal solution. It is one of the simplest methods to apply and perceive. Practical usefulness of the new method over other existing methods is demonstrated with two numerical examples.

Decision Making In Assignment Problem With Multiple Attributes Under Intuitionistic Fuzzy Environment

2010 ◽  
Author(s):  
Sathi Mukherjee ◽  
Kajla Basu ◽  
Swapan Paruya ◽  
Samarjit Kar ◽  
Suchismita Roy
Keyword(s):  
Decision Making ◽  
Assignment Problem ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Environment ◽  
Multiple Attributes

A NOVEL DEFUZZIFYING APPROACH TO CAR EVALUATION AND SELECTION UNDER FUZZY ENVIRONMENT

2002 ◽  
Vol 10 (03) ◽  
pp. 309-326 ◽  
Author(s):  
TA-CHUNG CHU ◽  
CHUNG-TSEN TSAO
Keyword(s):  
Fuzzy Numbers ◽  
Ranking Method ◽  
New Method ◽  
Multiple Level ◽  
Numerical Example ◽  
Fuzzy Environment ◽  
Proposed Model

This paper proposes a new method for ranking fuzzy numbers by difference between relative areas. Comparative examples illustrate the advantage of the proposed method. The ranking method is further applied to help establish a defuzzified multiple level FMADM model, which avoids the complicatied aggregation of fuzzy numbers so that the multiple level FMADM problem can be efficiently solved. A numerical example of car evaluation and selection illustrates the feasibility of the proposed model.

A Method for Analyzing Queues in Fuzzy Environment

2016 ◽  
pp. 1-21
Author(s):  
Thillaigovindan Natesan
Keyword(s):  
Fuzzy Numbers ◽  
Numerical Study ◽  
Compound Poisson Process ◽  
Arrival Rate ◽  
New Method ◽  
Service Rate ◽  
Fuzzy Environment ◽  
Restriction Policy ◽  
Bulk Queue ◽  
Number Of Customers

In this chapter a new method for analyzing queues in fuzzy environment is presented. After explaining the new technique, it is applied to a fuzzy bulk queue with modified Bernoulli vacation and restricted admissible customers. Batches of customers arrive at the system according to a compound Poisson process. All arriving batches are not allowed to enter the system. The restriction policy depends on availability or otherwise of the server. This system is analyzed in fuzzy environment using the new method developed. Some special cases are discussed and a numerical study is also carried out. The new method can be applied to any queuing system in fuzzy environment. In this method the input parameters like arrival rate, service rate, vacation rate etc. are described by fuzzy numbers of specific type (triangular, trapezoidal, quadratic, Gaussian etc.) and the system performance measures like average queue size, average waiting time in the queue, average number of customers in the system are all obtained as fuzzy numbers of the same type, which include the crisp solution.

Sign in / Sign up

Export Citation Format

Share Document