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A Novel Approach for Multiplicative Linguistic Group Decision Making Based on Symmetrical Linguistic Chi-Square Deviation and VIKOR Method
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In: Symmetry; Volume 14; Issue 1; Pages: 136 (2022)
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Abstract:
Most linguistic-based approaches to multi-attribute group decision making (MAGDM) use symmetric, uniformly distributed sets of additive linguistic terms to express the opinions of decision makers. However, in reality, there are also some problems that require the use of asymmetric, uneven, i.e., non-equilibrium, multiplicative linguistic term sets to express the evaluation. The purpose of this paper is to propose a new approach to MAGDM under multiplicative linguistic information. The aggregation of linguistic data is an important component in MAGDM. To solve this problem, we define a chi-square for measuring the difference between multiplicative linguistic term sets. Furthermore, the linguistic generalized weighted logarithm multiple averaging (LGWLMA) operator and linguistic generalized ordered weighted logarithm multiple averaging (LGOWLMA) operator are proposed based on chi-square deviation. On the basis of the proposed two operators, we develop a novel approach to GDM with multiplicative linguistic term sets. Finally, the evaluation of transport logistics enterprises is developed to illustrate the validity and practicality of the proposed approach.
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Keyword:
aggregation operator; group decision making; linguistic chi-square deviation; multiplicative symmetrical linguistic information
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URL: https://doi.org/10.3390/sym14010136
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3 |
A Comprehensive Star Rating Approach for Cruise Ships Based on Interactive Group Decision Making with Personalized Individual Semantics
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In: Journal of Marine Science and Engineering; Volume 10; Issue 5; Pages: 638 (2022)
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4 |
Managing Group Decision Making criteria values using Fuzzy Ontologies
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5 |
Consensus-Based Decision Support Model and Fusion Architecture for Dynamic Decision Making
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In: Electrical and Computer Engineering Publications (2022)
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6 |
Some Trapezoid Intuitionistic Fuzzy Linguistic Maclaurin Symmetric Mean Operators and Their Application to Multiple-Attribute Decision Making
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In: Symmetry ; Volume 13 ; Issue 10 (2021)
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7 |
A New Integrated FUCOM–CODAS Framework with Fermatean Fuzzy Information for Multi-Criteria Group Decision-Making
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In: Symmetry; Volume 13; Issue 12; Pages: 2430 (2021)
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8 |
Distribution Linguistic Fuzzy Group Decision Making Based on Consistency and Consensus Analysis
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In: Mathematics ; Volume 9 ; Issue 19 (2021)
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9 |
Hesitant Fuzzy 2-Dimension Linguistic Programming Technique for Multidimensional Analysis of Preference for Multicriteria Group Decision Making
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In: Mathematics; Volume 9; Issue 24; Pages: 3196 (2021)
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10 |
Wildfire data and information interoperability across fire management phases ...
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11 |
Wildfire data and information interoperability across fire management phases ...
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12 |
Consistency Improvement With a Feedback Recommendation in Personalized Linguistic Group Decision Making
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13 |
Fuzzy approach for group decision-making in crisis situations
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14 |
Understanding Location Decisions of Energy Multinational Enterprises within the European Smart Cities’ Context: An Integrated AHP and Extended Fuzzy Linguistic TOPSIS Method
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In: Energies ; Volume 13 ; Issue 10 (2020)
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15 |
Probabilistic Hybrid Linguistic Approaches for Multiple Attribute Group Decision Making with Decision Hesitancy and the Prioritization of Attribute Relationships
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In: Symmetry ; Volume 12 ; Issue 2 (2020)
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16 |
Exploring the Role of Advertising Types on Improving the Water Consumption Behavior: An Application of Integrated Fuzzy AHP and Fuzzy VIKOR Method
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In: Sustainability ; Volume 12 ; Issue 3 (2020)
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A group decision framework for renewable energy source selection under interval-valued probabilistic linguistic term set
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In: Energies ; Volume 13 ; Issue 4 (2020)
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18 |
The Linguistic Interval-Valued Intuitionistic Fuzzy Aggregation Operators Based on Extended Hamacher T-Norm and S-Norm and Their Application
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In: Symmetry ; Volume 12 ; Issue 4 (2020)
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19 |
Linguistic Pythagorean Einstein Operators and Their Application to Decision Making
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In: Information ; Volume 11 ; Issue 1 (2020)
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20 |
Cumulative Prospect Theory: Performance Evaluation of Government Purchases of Home-Based Elderly-Care Services Using the Pythagorean 2-tuple Linguistic TODIM Method
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In: International Journal of Environmental Research and Public Health ; Volume 17 ; Issue 6 (2020)
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