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Possibility Neutrosophic Cubic Sets and Their Application to Multiple Attribute Decision Making

Mathematics
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Book Synopsis Possibility Neutrosophic Cubic Sets and Their Application to Multiple Attribute Decision Making by : Huiling Xue

Download or read book Possibility Neutrosophic Cubic Sets and Their Application to Multiple Attribute Decision Making written by Huiling Xue. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: The neutrosophic cubic sets are an extension of the neutrosophic sets on the cubic sets. It contains three variables, which respectively represent the membership degree, non-membership degree and uncertainty of the element to the set. The score function is an important indicator in the multi-attribute decision-making problem. In this paper, we consider the possibility that an element belongs to a set and put forward the definition of possibility neutrosophic cubic sets. On this basis, we introduce some related concepts and give the binary operation of possibility neutrosophic cubic sets and use specific examples to supplement the corresponding definition. Meanwhile, a decision-making method based on the score function of possibility neutrosophic cubic sets is proposed and a numerical example is given to illustrate the effectiveness of the proposed method.

Dombi Aggregation Operators of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making

Mathematics
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Book Synopsis Dombi Aggregation Operators of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making by : Lilian Shi

Download or read book Dombi Aggregation Operators of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making written by Lilian Shi . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: The neutrosophic cubic set can describe complex decision-making problems with its single-valued neutrosophic numbers and interval neutrosophic numbers simultaneously. The Dombi operations have the advantage of good flexibility with the operational parameter. In order to solve decision-making problems with flexible operational parameter under neutrosophic cubic environments, the paper extends the Dombi operations to neutrosophic cubic sets and proposes a neutrosophic cubic Dombi weighted arithmetic average (NCDWAA) operator and a neutrosophic cubic Dombi weighted geometric average (NCDWGA) operator. Then, we propose a multiple attribute decision-making (MADM) method based on the NCDWAA and NCDWGA operators. Finally, we provide two illustrative examples of MADM to demonstrate the application and effectiveness of the established method.

Multiple Attribute Decision-Making Method Using Similarity Measures of Neutrosophic Cubic Sets

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Book Synopsis Multiple Attribute Decision-Making Method Using Similarity Measures of Neutrosophic Cubic Sets by : Angyan Tu

Download or read book Multiple Attribute Decision-Making Method Using Similarity Measures of Neutrosophic Cubic Sets written by Angyan Tu. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: In inconsistent and indeterminate settings, as a usual tool, the neutrosophic cubic set (NCS) containing single-valued neutrosophic numbers and interval neutrosophic numbers can be applied in decision-making to present its partial indeterminate and partial determinate information.

Cosine Measures of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making

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Book Synopsis Cosine Measures of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making by : Zhikang Lu

Download or read book Cosine Measures of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making written by Zhikang Lu . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: The neutrosophic cubic set can contain much more information to express its interval neutrosophic numbers and single-valued neutrosophic numbers simultaneously in indeterminate environments. Hence, it is a usual tool for expressing much more information in complex decision-making problems.

An extended TOPSIS for multi-attribute decision making problems with neutrosophic cubic information

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Book Synopsis An extended TOPSIS for multi-attribute decision making problems with neutrosophic cubic information by : Surapati Pramanik

Download or read book An extended TOPSIS for multi-attribute decision making problems with neutrosophic cubic information written by Surapati Pramanik. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: The paper proposes a new technique for dealing with multi-attribute decision making problems through an extended TOPSIS method under neutrosophic cubic environment. Neutrosophic cubic set is the generalized form of cubic set and is the hybridization of a neutrosophic set with an interval neutrosophic set.

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