Intuitionistic fuzzy induced ordered entropic weighted averaging operator for group decision making

In order to reflect the decision-making more scientific and democratic, modern decision problems often require the participation of multiple decision makers. In group decision making process,require the use of intuitionistic fuzzy hybrid averaging operator (IFHA) to get the final decision result.

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Triangular Cubic Hesitant Fuzzy Einstein Hybrid Weighted Averaging Operator and Its Application to Decision Making

Symmetry ◽

10.3390/sym10110658 ◽

2018 ◽

Vol 10 (11) ◽

pp. 658 ◽

Cited By ~ 16

Author(s):

Aliya Fahmi ◽

Fazli Amin ◽

Florentin Smarandache ◽

Madad Khan ◽

Nasruddin Hassan

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Aggregation Operators ◽

Weighted Averaging ◽

Linguistic Information ◽

Ordered Weighted Averaging ◽

Averaging Operator ◽

Multiple Attribute ◽

The Relationship

In this paper, triangular cubic hesitant fuzzy Einstein weighted averaging (TCHFEWA) operator, triangular cubic hesitant fuzzy Einstein ordered weighted averaging (TCHFEOWA) operator and triangular cubic hesitant fuzzy Einstein hybrid weighted averaging (TCHFEHWA) operator are proposed. An approach to multiple attribute group decision making with linguistic information is developed based on the TCHFEWA and the TCHFEHWA operators. Furthermore, we establish various properties of these operators and derive the relationship between the proposed operators and the existing aggregation operators. Finally, a numerical example is provided to demonstrate the application of the established approach.

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Additively Consistent Interval-Valued Intuitionistic Fuzzy Preference Relations and Their Application to Group Decision Making

Information ◽

10.3390/info9100260 ◽

2018 ◽

Vol 9 (10) ◽

pp. 260 ◽

Cited By ~ 1

Author(s):

Hua Zhuang

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Preference Relation ◽

Weighted Averaging ◽

Preference Relations ◽

Intuitionistic Fuzzy ◽

Priority Weights ◽

Interval Valued ◽

Fuzzy Preference

This paper aims to propose an innovative approach to group decision making (GDM) with interval-valued intuitionistic fuzzy (IVIF) preference relations (IVIFPRs). First, an IVIFPR is proposed based on the additive consistency of an interval-valued fuzzy preference relation (IVFPR). Then, two mathematical or adjusted programming models are established to extract two special consistent IVFPRs. In order to derive the priority weight of an IVIFPR, after taking the two special IVFPRs into consideration, a linear optimization model is constructed by minimizing the deviations between individual judgments and between the width degrees of the interval priority weights. For GDM with IVIFPRs, the decision makers’ weights are generated by combining the adjusted subjective weights with the objective weights. Subsequently, using an IVIF-weighted averaging operator, the collective IVIFPR is obtained and utilized to derive the IVIF priority weights. Finally, a practical example of a supplier selection is analyzed to demonstrate the application of the proposed method.

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An Algorithm for Interval-Valued Intuitionistic Fuzzy Preference Relations in Group Decision Making Based on Acceptability Measurement and Priority Weight Determination

Algorithms ◽

10.3390/a11110182 ◽

2018 ◽

Vol 11 (11) ◽

pp. 182

Author(s):

Hua Zhuang ◽

Yanzhao Tang ◽

Meijuan Li

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Preference Relation ◽

Weighted Averaging ◽

Consistency Index ◽

Multiplicative Consistency ◽

Intuitionistic Fuzzy ◽

Interval Valued ◽

Fuzzy Preference

Group decision making with intuitionistic fuzzy preference information contains two key issues: acceptability measurement and priority weight determination. In this paper, we investigate the above two issues with respect to multiplicative interval-valued intuitionistic fuzzy preference relation (IVIFPR). Firstly, a consistency index is defined to measure the multiplicative consistency degree of IVIFPR and an optimization model is established to improve the consistency degree of IVIFPR to an acceptable one. Next, in terms of priority weight determination, an error-analysis-based extension method is proposed to obtain priority weight vector from the acceptable IVIFPR. For GDM problems, decision makers’ weights are derived by the proposed multiplicative consistency index. Subsequently, the collective IVIFPR is obtained by using an interval-valued intuitionistic fuzzy (IVIF) weighted averaging operator. Finally, a step-by step algorithm for GDM with IVIFPRs is given, and an example of enterprise innovation partner selection is analyzed, and comparative analyses with existing approaches are performed to demonstrate that the proposed algorithm is both effective and practical in dealing with GDM problems.

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The importance weighted continuous generalized ordered weighted averaging operator and its application to group decision making

Knowledge-Based Systems ◽

10.1016/j.knosys.2013.04.002 ◽

2013 ◽

Vol 48 ◽

pp. 24-36 ◽

Cited By ~ 12

Author(s):

Hongbin Liu ◽

Jianfeng Cai ◽

Luis Martı́nez

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Weighted Averaging ◽

Ordered Weighted Averaging ◽

Averaging Operator ◽

Ordered Weighted Averaging Operator

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INTUITIONISTIC FUZZY GENERALIZED PROBABILISTIC ORDERED WEIGHTED AVERAGING OPERATOR AND ITS APPLICATION TO GROUP DECISION MAKING

Technological and Economic Development of Economy ◽

10.3846/20294913.2014.984253 ◽

2015 ◽

Vol 22 (2) ◽

pp. 177-193 ◽

Cited By ~ 35

Author(s):

Shouzhen ZENG ◽

Weihua SU ◽

Chonghui ZHANG

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Weighted Averaging ◽

Uncertain Environments ◽

Intuitionistic Fuzzy Numbers ◽

Ordered Weighted Averaging ◽

Intuitionistic Fuzzy ◽

Wide Range ◽

Ordered Weighted Averaging Operator

In this paper, we present the intuitionistic fuzzy generalized probabilistic ordered weighted averaging (IFGPOWA) operator. It is a new aggregation operator that uses generalized means in a unified model between the probability and the OWA operator. The main advantage of this new operator is that it is able to deal with probabilities (objective information) and ordered weighted averages (subjective information) in the same formulation. Moreover, it is also able to deal with uncertain environments that can be assessed with intuitionistic fuzzy numbers. Furthermore, it uses generalized means providing a very general formulation that includes a wide range of situations. We study some of its main properties and particular cases such as the generalized intuitionistic fuzzy ordered weighted averaging (GIFOWA) operator and intuitionistic fuzzy probabilistic ordered weighted averaging (IFPOWA) operator. We end the paper by applying the new operator to a group decision making problem concerning the selection of investments.

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