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Symmetry 2018, 10(4), 85; https://doi.org/10.3390/sym10040085

Generalized Interval Neutrosophic Choquet Aggregation Operators and Their Applications

1
College of Arts and Sciences, Shanghai Maritime University, Shanghai 201306, China
2
School of Arts and Sciences, Shaanxi University of Science & Technology, Xi’an 710021, China
3
Department of Mathematics, Hanyang University, Seoul 04763, South Korea
*
Author to whom correspondence should be addressed.
Received: 14 March 2018 / Revised: 26 March 2018 / Accepted: 26 March 2018 / Published: 28 March 2018
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Abstract

The interval neutrosophic set (INS) is a subclass of the neutrosophic set (NS) and a generalization of the interval-valued intuitionistic fuzzy set (IVIFS), which can be used in real engineering and scientific applications. This paper aims at developing new generalized Choquet aggregation operators for INSs, including the generalized interval neutrosophic Choquet ordered averaging (G-INCOA) operator and generalized interval neutrosophic Choquet ordered geometric (G-INCOG) operator. The main advantages of the proposed operators can be described as follows: (i) during decision-making or analyzing process, the positive interaction, negative interaction or non-interaction among attributes can be considered by the G-INCOA and G-INCOG operators; (ii) each generalized Choquet aggregation operator presents a unique comprehensive framework for INSs, which comprises a bunch of existing interval neutrosophic aggregation operators; (iii) new multi-attribute decision making (MADM) approaches for INSs are established based on these operators, and decision makers may determine the value of λ by different MADM problems or their preferences, which makes the decision-making process more flexible; (iv) a new clustering algorithm for INSs are introduced based on the G-INCOA and G-INCOG operators, which proves that they have the potential to be applied to many new fields in the future. View Full-Text
Keywords: generalized aggregation operators; interval neutrosophic set (INS); multi-attribute decision making (MADM); Choquet integral; fuzzy measure; clustering algorithm generalized aggregation operators; interval neutrosophic set (INS); multi-attribute decision making (MADM); Choquet integral; fuzzy measure; clustering algorithm
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Li, X.; Zhang, X.; Park, C. Generalized Interval Neutrosophic Choquet Aggregation Operators and Their Applications. Symmetry 2018, 10, 85.

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