Retreat: Fuzzy Multi-Criteria Decision Making Based on Pros And Cons

We introduce a new fuzzy multi-criteria decision making method using interval type-2 pentagonal fuzzy numbers. We propose to incorporate pros and cons of an issue to arrive at better decision. The necessary concepts and terminologies are defined. The proposed decision method consists of three stages. We use a prioritized interval type-2 pentagonal fuzzy aggregation operator to arrive at a tentative decision in the second stage. We use the existing concept of synthesis value and define a new suitable formula in order to accommodate fuzzy decision environment with pros and cons of an issue. A formula to combine the de-fuzzified pro-value and con-value of an alternative is proposed and the same is used to rank the alternatives. We further introduce concept of consolation score to align the final decision with the gut level of a decision maker. The fuzzy concepts such as fuzzy relations and fuzzy trace theory are employed to arrive at consolation score. This newly proposed fuzzy multi-criteria decision making method is a comprehensive and complete approach to a decision problem particularly concerning life-issues.

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Symmetric Triangular Interval Type-2 Intuitionistic Fuzzy Sets with Their Applications in Multi Criteria Decision Making

Symmetry ◽

10.3390/sym10090401 ◽

2018 ◽

Vol 10 (9) ◽

pp. 401 ◽

Cited By ~ 26

Author(s):

Sukhveer Singh ◽

Harish Garg

Keyword(s):

Decision Making ◽

Fuzzy Set ◽

Intuitionistic Fuzzy Set ◽

Multi Criteria Decision Making ◽

Numerical Illustration ◽

Intuitionistic Fuzzy ◽

Fuzzy Aggregation ◽

Important Extension ◽

Interval Type

Type-2 intuitionistic fuzzy set (T2IFS) is a powerful and important extension of the classical fuzzy set, intuitionistic fuzzy set to measure the vagueness and uncertainty. In a practical decision-making process, there always occurs an inter-relationship among the multi-input arguments. To deal with this point, the motivation of the present paper is to develop some new interval type-2 (IT2) intuitionistic fuzzy aggregation operators which can consider the multi interaction between the input argument. To achieve it, we define a symmetric triangular interval T2IFS (TIT2IFS), its operations, Hamy mean (HM) operator to aggregate the preference of the symmetric TIT2IFS and then shows its applicability through a multi-criteria decision making (MCDM). Several enviable properties and particular cases together with following different parameter values of this operator are calculated in detail. At last a numerical illustration is to given to exemplify the practicability of the proposed technique and a comparative analysis is analyzed in detail.

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MULTIPLE CRITERIA DECISION ANALYSIS USING PRIORITISED INTERVAL TYPE-2 FUZZY AGGREGATION OPERATORS AND ITS APPLICATION TO SITE SELECTION

Technological and Economic Development of Economy ◽

10.3846/20294913.2016.1209249 ◽

2017 ◽

Vol 23 (1) ◽

pp. 1-21 ◽

Cited By ~ 7

Author(s):

Ting-Yu CHEN

Keyword(s):

Decision Making ◽

Decision Analysis ◽

Site Selection ◽

Aggregation Operator ◽

Multiple Criteria ◽

Multiple Criteria Decision Analysis ◽

Landfill Site Selection ◽

Fuzzy Aggregation ◽

Interval Type

The theory of interval type-2 fuzzy sets provides an intuitive and computationally feasible method of addressing uncertain and ambiguous information in decision-making fields. This paper aims to develop a prioritised interval type-2 fuzzy aggregation operator and apply it to multiple criteria decision analysis with prioritised criteria. This paper considers situations in which a relationship between the criteria exists such that a lack of satisfaction by the higher priority criteria cannot be readily compensated by the satisfaction of lower priority criteria. This paper introduces the developed prioritised interval type-2 fuzzy aggregation operator to address the problem of criteria aggregation in this environment. To demonstrate the feasibility of the proposed operator, this paper provides a multiple criteria decision-making method that uses the prioritised interval type-2 fuzzy aggregation operator, and the method is illustrated with a practical application to landfill site selection.

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