An I-TODIM method for multi-attribute decision making with interval numbers

2016 ◽  
Vol 21 (18) ◽  
pp. 5489-5506 ◽  
Author(s):  
Yanping Jiang ◽  
Xia Liang ◽  
Haiming Liang
Keyword(s):  
Decision Making ◽  
Interval Numbers ◽  
Todim Method ◽  
Multi Attribute Decision Making

scholarly journals A Method of Determining Multi-Attribute Weights Based on Single-Valued Neutrosophic Numbers and Its Application in TODIM

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 506 ◽  
Author(s):  
Dongsheng Xu ◽  
Yanran Hong ◽  
Kaili Xiang
Keyword(s):  
Decision Making ◽  
Decision Makers ◽  
Entropy Weight ◽  
Attribute Weights ◽  
Attribute Weight ◽  
Decision Making Problem ◽  
Entropy Weight Method ◽  
Todim Method ◽  
Multi Attribute Decision Making ◽  
Weight Method

In this paper, the TODIM method is used to solve the multi-attribute decision-making problem with unknown attribute weight in venture capital, and the decision information is given in the form of single-valued neutrosophic numbers. In order to consider the objectivity and subjectivity of decision-making problems reasonably, the optimal weight is obtained by combining subjective weights and objective weights. Subjective weights are given directly by decision makers. Objective weights are obtained by establishing a weight optimization model with known decision information, then this method will compare with entropy weight method. These simulation results also validate the effectiveness and reasonableness of this proposed method.

Projection Method for Material Selection Problem with Interval Numbers

2014 ◽  
Vol 1022 ◽  
pp. 14-17 ◽  
Author(s):  
Lian Wu Yang
Keyword(s):  
Decision Making ◽  
Projection Method ◽  
Coefficient Of Variation ◽  
Material Selection ◽  
Influence Factors ◽  
Selection Problem ◽  
Variation Method ◽  
Interval Numbers ◽  
Decision Method ◽  
Multi Attribute Decision Making

Material selection problem is important for the product design, and contains many influence factors. Thus it is actually a multi-attribute decision making (MADM) problems. The aim of this paper is to propose a new decision method based on the projection method for the material selection problem, in which attribute values expressed with interval numbers. An objective determining weights method is proposed according to coefficient of variation method. A practical example is used to illustrate the effectiveness and practicability of the proposed method.

scholarly journals A New Method Based on PROMETHEE and TODIM for Multi-Attribute Decision-Making with Single-Valued Neutrosophic Sets

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1816
Author(s):  
Dongsheng Xu ◽  
Xiaolan Wei ◽  
Hui Ding ◽  
Hongqiong Bin
Keyword(s):  
Decision Making ◽  
Main Idea ◽  
New Method ◽  
Calculation Formula ◽  
Neutrosophic Sets ◽  
Promethee Method ◽  
Todim Method ◽  
Multi Attribute Decision Making ◽  
Ranking Of Alternatives ◽  
The Difference

Single-valued neutrosophic sets (SVNSs) can effectively describe the multi-attribute decision-making (MADM) problems which are characterized by incompleteness and uncertainty. Aiming at the MADM problem of SVNSs, a series of methods are proposed to solve the problem, such as the TODIM and PROMETHEE methods. The main idea of the TODIM method is to establish a relative superiority function of scheme relative to other schemes based on the value function of prospect theory, and the ranking of alternatives is determined according to the obtained superiority. In the PROMETHEE method, the decision maker selects the preference function for each attribute according to their preference, and then calculates the priority index, inflow, outflow and net flow according to the difference of the attribute values of scheme, so as to determine the ranking of alternatives. In this paper, a new method based on PROMETHEE and TODIM is proposed to solve the MADM problem under the single-valued neutrosophic environment. Based on the calculation formula of inflow and outflow in PROMETHEE method, and the calculation formula of overall dominance in the TODIM method, a new integrated formula is obtained.

scholarly journals An Extended VIKOR Method Based on q-Rung Orthopair Shadowed Set and Its Application to Multi-Attribute Decision Making

Symmetry ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 1508
Author(s):  
Huidong Wang ◽  
Yao Zhang ◽  
Jinli Yao
Keyword(s):  
Decision Making ◽  
Normal Distribution ◽  
Distance Measures ◽  
Basic Operation ◽  
Interval Numbers ◽  
Location Selection ◽  
Operation Rules ◽  
Shadowed Set ◽  
Multi Attribute Decision Making ◽  
Shadowed Sets

In the multi-attribute decision making (MADM) process, the attribute values are sometimes provided by experts or the public in the form of words. To model the linguistic evaluation more accurately, this paper proposes the q-rung orthopair shadowed set (q-ROSS) to represent attribute values and extends the VIKOR (VIsekriterijumska optimizacija i KOmpromisno Resenje) method to solve MADM problems in the q-ROSS context. First, we propose the q-ROSS to express evaluation information. Some basic operation rules and distance measures are investigated accordingly. When the amount of data is large, the left and right endpoints of the collected interval numbers will obey symmetric normal distribution. Secondly, based on the normal distribution assumption, the collected data intervals are mapped to shadowed sets through a data processing approach. Furthermore, we extend the VIKOR model to tackle the MADM problem where the evaluation values are expressed by q-rung orthopair shadowed numbers. A location selection problem verifies the practicability of our method, and the effectiveness and superiority of the presented approach are reflected through comparative analysis.

Study on Filter Algorithm of QoS-Based Fuzzy Multi-Attribute Web Service Composition

2012 ◽  
Vol 182-183 ◽  
pp. 2131-2135
Author(s):  
Xiang Rong Fang
Keyword(s):  
Decision Making ◽  
Web Service ◽  
Information Matrix ◽  
Service Selection ◽  
Fuzzy Decision Making ◽  
Interval Numbers ◽  
Functional Attributes ◽  
Web Service Selection ◽  
Multi Attribute Decision Making ◽  
Definition Of

In this paper, an in-depth research has been done on the physical meaning and value features of the QoS attribute values under the definition of the functional attributes and non-functional attributes of Web services, giving the computation formulae and matching method expressing QoS composition as interval numbers, providing a more comprehensive and objective information matrix for fuzzy multi-attribute decision making. For multi-attributes fuzzy decision-making matrix with weight information known and the preference information of composition solution given in the form of interval numbers, calculating the overall attribute values, and sorting solutions by using the formula of probability degree, a QoS-driven multi-level composition Web Service selection algorithm is proposed, and simulation runs indicate the feasibility and effectiveness of the algorithm.

Sign in / Sign up

Export Citation Format

Share Document