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The Generalized Neutrosophic Cubic Aggregation Operators and Their Application to Multi-Expert Decision-Making Method

Mathematics
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Book Synopsis The Generalized Neutrosophic Cubic Aggregation Operators and Their Application to Multi-Expert Decision-Making Method by : Majid Khan

Download or read book The Generalized Neutrosophic Cubic Aggregation Operators and Their Application to Multi-Expert Decision-Making Method written by Majid Khan . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: In the modern world, the computation of vague data is a challenging job. Different theories are presented to deal with such situations. Amongst them, fuzzy set theory and its extensions produced remarkable results. Smarandache extended the theory to a new horizon with the neutrosophic set (NS), which was further extended to interval neutrosophic set (INS).

Neutrosophic Cubic Einstein Geometric Aggregation Operators with Application to Multi-Criteria Decision Making Method

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Book Synopsis Neutrosophic Cubic Einstein Geometric Aggregation Operators with Application to Multi-Criteria Decision Making Method by : Majid Khan

Download or read book Neutrosophic Cubic Einstein Geometric Aggregation Operators with Application to Multi-Criteria Decision Making Method written by Majid Khan . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic cubic sets (NCs) are amore generalized version of neutrosophic sets(Ns) and interval neutrosophic sets (INs). Neutrosophic cubic setsare better placed to express consistent, indeterminate and inconsistent information, which provides a better platform to deal with incomplete, inconsistent and vague data. Aggregation operators play a key role in daily life, and in relation to science and engineering problems. In this paper we defined the algebraic and Einstein sum, multiplication and scalar multiplication, score and accuracy functions.

Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making

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Book Synopsis Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making by : Vakkas Uluçay

Download or read book Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making written by Vakkas Uluçay . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: Smarandache defined a neutrosophic set to handle problems involving incompleteness, indeterminacy, and awareness of inconsistency knowledge, and have further developed it neutrosophic soft expert sets. In this paper, this concept is further expanded to generalized neutrosophic soft expert set (GNSES). We then define its basic operations of complement, union, intersection, AND, OR, and study some related properties, with supporting proofs. Subsequently, we define a GNSES-aggregation operator to construct an algorithm for a GNSES decision-making method, which allows for a more efficient decision process. Finally, we apply the algorithm to a decision-making problem, to illustrate the effectiveness and practicality of the proposed concept. A comparative analysis with existing methods is done and the result affirms the flexibility and precision of our proposed method.

Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions

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Book Synopsis Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions by : Muhammad Gulistan

Download or read book Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions written by Muhammad Gulistan. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: This article introduces the concept of Heronian mean operators, geometric Heronian mean operators, neutrosophic cubic number–improved generalized weighted Heronian mean operators, neutrosophic cubic number–improved generalized weighted geometric Heronian mean operators. These operators actually generalize the operators of fuzzy sets, cubic sets, and neutrosophic sets. We investigate the average weighted operator on neutrosophic cubic sets and weighted geometric operator on neutrosophic cubic sets to aggregate the neutrosophic cubic information. After this, based on average weighted and geometric weighted and cosine similarity function in neutrosophic cubic sets, we developed a multiple attribute group decision-making method. Finally, we give a mathematical example to illustrate the usefulness and application of the proposed method.

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

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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.

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