Multiple Attribute Group Decision Making Method Based on Utility Theory Under Interval-Valued Intuitionistic Fuzzy Environment

In this paper, we focus on new methods to deal with multiple attribute group decision-making (MAGDM) problems and a new comparison law of interval-valued dual hesitant fuzzy elements (IVDHFEs). More explicitly, the interval-valued dual hesitant fuzzy 2nd-order central polymerization degree (IVDHFCP2) function is introduced, for the case that score values of different IVDHFEs are identical. This function can further compare different IVDHFEs. Then, we develop a series of interval-valued dual hesitant fuzzy power Heronian aggregation operators, i.e., the interval-valued dual hesitant fuzzy power Heronian mean (IVDHFPHM) operator, the interval-valued dual hesitant fuzzy power geometric Heronian mean (IVDHFPGHM) operator, and their weighted forms. Some desirable properties and their special cases are discussed. These proposed operators can simultaneously reflect the interrelationship of aggregated arguments and reduce the influence of unreasonable evaluation values. Finally, two approaches for interval-valued dual hesitant fuzzy MAGDM with known or unknown weight information are presented. An illustrative example and comparative studies are given to verify the advantages of our methods. A sensitivity analysis of the decision results is analyzed with different parameters.

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The Interval-Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application

Journal of Applied Mathematics ◽

10.1155/2013/981762 ◽

2013 ◽

Vol 2013 ◽

pp. 1-10 ◽

Cited By ~ 4

Author(s):

Ya-ming Shi ◽

Jian-min He

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Practical Case ◽

Basic Properties ◽

Bonferroni Mean ◽

Intuitionistic Fuzzy ◽

Fuzzy Environment ◽

Aggregation Techniques ◽

Interval Valued

We investigate and propose two new Bonferroni means, that is, the optimized weighted BM (OWBM) and the generalized optimized weighted BM (GOWBM), whose characteristics are to reflect the preference and interrelationship of the aggregated arguments and can satisfy the basic properties of the aggregation techniques simultaneously. Further, we propose the interval-valued intuitionistic fuzzy optimized weighted Bonferroni mean (IIFOWBM) and the generalized interval-valued intuitionistic fuzzy optimized weighted Bonferroni mean (GIIFOWBM) and detailed study of their desirable properties such as idempotency, monotonicity, transformation, and boundary. Finally, based on IIFOWBM and GIIFOWBM, we give an approach to group decision making under the interval-valued intuitionistic fuzzy environment and utilize a practical case involving the assessment of a set of agroecological regions in Hubei Province, China, to illustrate the developed methods.

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An application of soft computing technique in group decision making under interval-valued intuitionistic fuzzy environment

Applied Soft Computing ◽

10.1016/j.asoc.2012.11.045 ◽

2013 ◽

Vol 13 (5) ◽

pp. 2490-2503 ◽

Cited By ~ 39

Author(s):

Zhongliang Yue ◽

Yuying Jia

Keyword(s):

Decision Making ◽

Soft Computing ◽

Group Decision Making ◽

Group Decision ◽

Computing Technique ◽

Intuitionistic Fuzzy ◽

Fuzzy Environment ◽

Soft Computing Technique ◽

Interval Valued

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Induced Interval-Valued Intuitionistic Fuzzy Hybrid Aggregation Operators with TOPSIS Order-Inducing Variables

Journal of Applied Mathematics ◽

10.1155/2012/245732 ◽

2012 ◽

Vol 2012 ◽

pp. 1-24 ◽

Cited By ~ 4

Author(s):

Jun-Ling Zhang ◽

Xiao-Wen Qi

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Aggregation Operators ◽

Intuitionistic Fuzzy ◽

Multiple Attribute ◽

Special Cases ◽

Wide Range ◽

Induced Aggregation ◽

Interval Valued

Two induced aggregation operators with novelly designed TOPSIS order-inducing variables are proposed: Induced Interval-valued Intuitionistic Fuzzy Hybrid Averaging (I-IIFHA) operator and Induced Interval-valued Intuitionistic Fuzzy Hybrid Geometric (I-IIFHG) operator. The merit of two aggregation operators is that they can consider additional preference information of decision maker’s attitudinal characteristics besides argument-dependent information and argument-independent information. Some desirable properties of I-IIFHA and I-IIFHG are studied and theoretical analysis also shows that they can include a wide range of aggregation operators as special cases. Further, we extend these operators to form a novel group decision-making method for selecting the most desirable alternative in multiple attribute multi-interest group decision-making problems with attribute values and decision maker’s interest values taking the form of interval-valued intuitionistic fuzzy numbers, and application research to real estate purchase selection shows its practicality.

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Interval-Valued Intuitionistic Fuzzy Multicriteria Group Decision Making Based on VIKOR and Choquet Integral

Journal of Applied Mathematics ◽

10.1155/2013/656879 ◽

2013 ◽

Vol 2013 ◽

pp. 1-16 ◽

Cited By ~ 7

Author(s):

Chunqiao Tan ◽

Xiaohong Chen

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Choquet Integral ◽

Decision Makers ◽

Intuitionistic Fuzzy ◽

Fuzzy Environment ◽

Decision Making Problem ◽

Multicriteria Group Decision Making ◽

Interval Valued

An effective decision making approach based on VIKOR and Choquet integral is developed to solve multicriteria group decision making problem with conflicting criteria and interdependent subjective preference of decision makers in a fuzzy environment where preferences of decision makers with respect to criteria are represented by interval-valued intuitionistic fuzzy sets. First, an interval-valued intuitionistic fuzzy Choquet integral operator is given. Some of its properties are investigated in detail. The extended VIKOR decision procedure based on the proposed operator is developed for solving the multicriteria group decision making problem where the interactive criteria weight is measured by Shapley value. An illustrative example is given for demonstrating the applicability of the proposed decision procedure for solving the multi-criteria group decision making problem in interval-valued intuitionistic fuzzy environment.

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