scholarly journals Extension Dependent Degree Method with Mapping Transformation for Three-Parameter Interval Number Decision Making

2018 ◽  
Vol 2018 ◽  
pp. 1-12
Author(s):  
Li-Bo Xu ◽  
Xing-Sen Li ◽  
Jun-kai Shao ◽  
Kai-jie Wang
Keyword(s):  
Decision Making ◽  
Interval Mapping ◽  
Transformation Method ◽  
Interval Number ◽  
Interval Numbers ◽  
New Approach ◽  
Dependent Function ◽  
Optimal Value ◽  
Decision Making Problem ◽  
Parameter Interval

In view of the multiattribute decision making problem that the attribute values and weights are both three-parameter interval numbers, a new decision making approach and framework based on extension simple dependent degree are proposed. According to traditional extension simple dependent function, the new approach proposes a new extension dependent function for three-parameter interval number. Then through an interval mapping transformation method, the process for obtaining dependent degree for the interval with its optimal value not being the endpoint is transformed to the monotonous process for the interval with its optimal value being the endpoint. The method can not only perform uncertain analysis of decision results by different settings of attitude coefficients, but also take dynamic analysis and rule finding by some extension transformation. At last, an example is presented to examine the effectiveness and stability of our method.

scholarly journals Uncertain Multiattribute Decision-Making Based on Interval Number with Extension-Dependent Degree and Regret Aversion

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Libo Xu ◽  
Xingsen Li ◽  
Chaoyi Pang
Keyword(s):  
Decision Making ◽  
Interval Number ◽  
Decision Makers ◽  
Regret Theory ◽  
Utility Value ◽  
Perceived Utility ◽  
Dependent Function ◽  
Optimal Value ◽  
Decision Making Problem ◽  
Regret Aversion

In view of the uncertainty multiattribute decision-making problem with attribute values and weights both being interval number, a new solution based on regret theory and extension-dependent degree is proposed. It can define pass value of each attribute, which means decision-maker’s acceptance for the scheme under the pass value will decline quickly. Then according to traditional regret theory, the method defines an extension-dependent function based on pass value which can improve the flexibility of the traditional utility function and the ability to describe the risk aversion actions from decision-makers. Then the extension-dependent function for interval number is built, and the perceived utility value of each scheme is obtained based on the interval’s optimal value. The method can also reflect the decision-maker’s reference to high or low evaluation score by setting attitude coefficients. At last, an example is presented to examine the feasibility, effectiveness, and stability of our method.

scholarly journals Simplified Neutrosophic Sets Based on Interval Dependent Degree for Multi-Criteria Group Decision-Making Problems

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 640 ◽  
Author(s):  
Xu Libo ◽  
Li Xingsen ◽  
Pang Chaoyi ◽  
Guo Yan
Keyword(s):  
Decision Making ◽  
Distribution Function ◽  
Group Decision Making ◽  
Group Decision ◽  
Dynamic Change ◽  
Transformation Operator ◽  
Decision Makers ◽  
Neutrosophic Sets ◽  
New Approach ◽  
Dependent Function

In this paper, a new approach and framework based on the interval dependent degree for multi-criteria group decision-making (MCGDM) problems with simplified neutrosophic sets (SNSs) is proposed. Firstly, the simplified dependent function and distribution function are defined. Then, they are integrated into the interval dependent function which contains interval computing and distribution information of the intervals. Subsequently, the interval transformation operator is defined to convert simplified neutrosophic numbers (SNNs) into intervals, and then the interval dependent function for SNNs is deduced. Finally, an example is provided to verify the feasibility and effectiveness of the proposed method, together with its comparative analysis. In addition, uncertainty analysis, which can reflect the dynamic change of the final result caused by changes in the decision makers’ preferences, is performed in different distribution function situations. That increases the reliability and accuracy of the result.

EXTENDED INDUCED ORDERED WEIGHTED AVERAGING DISTANCE OPERATORS AND THEIR APPLICATION TO GROUP DECISION-MAKING

2013 ◽  
Vol 12 (04) ◽  
pp. 789-811 ◽  
Author(s):  
SHOUZHEN ZENG ◽  
WEI LI ◽  
JOSÉ M. MERIGÓ
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Fuzzy Numbers ◽  
Group Decision ◽  
Weighted Averaging ◽  
Interval Numbers ◽  
Ordered Weighted Averaging ◽  
Special Cases ◽  
Decision Making Problem ◽  
Available Information

The induced ordered weighted averaging distance (IOWAD) approach is very suitable in situations in which the available information is represented with exact numerical values. In this paper, we develop some extended IOWAD operators: the linguistic induced ordered weighted averaging distance (LIOWAD) operator, the uncertain induced ordered weighted averaging distance (UIOWAD) operator and the fuzzy induced ordered weighted averaging distance (FIOWAD) operator. Their main objective is to assess uncertain situations in which the available information is given in the form of linguistic variables, interval numbers and fuzzy numbers. Some special cases of these three new extensions are studied. Finally, we develop an application of the new operators in a group decision-making problem under an uncertain environment and illustrate it with a numerical example.

Interval TOPSIS with a novel interval number comprehensive weight for threat evaluation on uncertain information

2021 ◽  
pp. 1-17
Author(s):  
Chen Xiang ◽  
Wang Xing ◽  
Zhang Hubiao ◽  
Xu Yuheng ◽  
Chen You ◽  
...  
Keyword(s):  
Decision Making ◽  
Situation Awareness ◽  
Interval Number ◽  
Uncertain Information ◽  
Interval Numbers ◽  
Subjective Weight ◽  
Order Preference ◽  
The Mean ◽  
Deviation Method ◽  
Threat Evaluation

Threat evaluation (TE) is essential in battlefield situation awareness and military decision-making. The current processing methods for uncertain information are not effective enough for their excessive subjectivity and difficulty to obtain detailed information about enemy weapons. In order to optimize TE on uncertain information, an approach based on interval Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) and the interval SD-G1 (SD standard deviation) method is proposed in this article. By interval SD-G1 method, interval number comprehensive weights can be calculated by combining subjective and objective weights. Specifically, the subjective weight is calculated by interval G1 method, which is an extension of G1 method into interval numbers. And the objective weight is calculated by interval SD method, which is an extension of SD method with the mean and SD of the interval array defined in this paper. Sample evaluation results show that with the interval SD-G1 method, weights of target threat attributes can be better calculated, and the approach combining interval TOPSIS and interval SD-G1 can lead to more reasonable results. Additionally, the mean and SD of interval arrays can provide a reference for other fields such as interval analysis and decision-making.

The multiple attribute decision model of grey targets based on grey potential degree

2017 ◽  
Vol 7 (3) ◽  
pp. 365-375 ◽  
Author(s):  
Aiqing Ruan ◽  
Yinao Wang
Keyword(s):  
Decision Making ◽  
Decision Model ◽  
Uncertain Information ◽  
New Approach ◽  
Content Type ◽  
Actual Application ◽  
Multiple Attribute ◽  
Decision Making Problem ◽  
Resource Data ◽  
Multiple Resource

Purpose Grey target decision making is one of the important problems of decision-making theory. It is critical to express uncertain information effectively and depose them in a reasonable and simple way. The purpose of this paper is to solve the grey target problem by the grey potential degree method without whiten value and without distribution function. Furthermore, this new approach has an advantage of realizing both comparing and standardization work during the process of treating the data. Design/methodology/approach First, this paper makes a brief overview of the existing method for grey target decision. Then, the conception of a grey potential degree system is introduced and the conception of standard grey potential degree is build up, and a new grey potential-based method based on the grey target multiple attribute decision method is proposed. At the same time, the standard grey potential and its application in multiple resource data are studied. Findings At the same time the standard grey potential and its application in multiple resource data are studied. Standard grey potential is presented by means of three examples together with the comparison with the existing method to demonstrate that the grey potential-based method could be used to solve the problem of grey target decision conveniently and effectively. Originality/value It is very important to compare grey numbers to obtain scientific and reasonable results for a grey target decision-making problem. However, in the actual application of grey numbers, it is difficult to find out the probability density function or the whiten function of grey numbers. When grey numbers are compared and deposed through the whiten value, much information regarding grey numbers will be lost and, at the same time, the value of grey numbers in uncertainty is partly lost. The method discussed in this paper is reasonable and feasible.

scholarly journals Extension of VIKOR method for decision making problem with interval numbers

2009 ◽  
Vol 33 (5) ◽  
pp. 2257-2262 ◽  
Author(s):  
Mohammad Kazem Sayadi ◽  
Majeed Heydari ◽  
Kamran Shahanaghi
Keyword(s):  
Decision Making ◽  
Vikor Method ◽  
Interval Numbers ◽  
Decision Making Problem

A novel method for multi-attribute risk decision-making based on regret theory and hybird information

2020 ◽  
Vol 39 (5) ◽  
pp. 6955-6964
Author(s):  
Nian Zhang ◽  
Yunpeng Han ◽  
Quanshen Si ◽  
Guiwu Wei
Keyword(s):  
Decision Making ◽  
Transformation Method ◽  
Decision Makers ◽  
Regret Theory ◽  
Utility Values ◽  
Weighted Arithmetic ◽  
Relative Closeness ◽  
Decision Making Problem ◽  
Ranking Order ◽  
Risk Decision

To consider the decision makers’ regret behavior and describe the hybrid evolution information in the risk decision-making problem, a new approach is proposed based on regret theory in this paper. Firstly, the probable value of different states are calculated by Pignistic probability transformation method. Secondly, the relative closeness formula of hybrid information are established and the utility values of alternatives are computed. Then, decision makers’ utility values are obtained according to the regret theory. Moreover, the overall perceived utility values of alternatives are obtained by weighted arithmetic mean and got the optimal one by the ranking order. Finally, an numerical example is illustrated the method and comparative analysis are offered between the proposed approach and other existed methods to show that is feasible and usable.

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