Multiple Criteria Decision Making Approach with Multivalued Neutrosophic Linguistic Normalized Weighted Bonferroni Mean Hamacher Operator

Multiple Criteria Decision Making Approach with Multivalued Neutrosophic Linguistic Normalized Weighted Bonferroni Mean Hamacher Operator
Author: Bao-lin Li
Publisher: Infinite Study
Total Pages: 23
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The neutrosophic set and linguistic term set are widely applied in recent years. Motivated by the advantages of them, we combine the multivalued neutrosophic set and linguistic set and define the concept of themultivalued neutrosophic linguistic set (MVNLS).

Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment

Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment
Author: Harish Garg
Publisher: Infinite Study
Total Pages: 25
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Genre: Mathematics
ISBN:

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The aim of this paper is to introduce some new operators for aggregating single-valued neutrosophic (SVN) information and to apply them to solve the multi-criteria decision-making (MCDM) problems. Single-valued neutrosophic set, as an extension and generalization of an intuitionistic fuzzy set, is a powerful tool to describe the fuzziness and uncertainty, and Muirhead mean (MM) is a well-known aggregation operator which can consider interrelationships among any number of arguments assigned by a variable vector. In order to make full use of the advantages of both, we introduce two new prioritized MM aggregation operators, such as the SVN prioritized MM (SVNPMM) and SVN prioritized dual MM (SVNPDMM) under SVN set environment. In addition, some properties of these new aggregation operators are investigated and some special cases are discussed. Furthermore, we propose a new method based on these operators for solving the MCDM problems. Finally, an illustrative example is presented to testify the efficiency and superiority of the proposed method by comparing it with the existing method.

Multiple-Valued Neutrosophic Uncertain Linguistic Sets With Dombi Normalized Weighted Bonferroni Mean Operator and Their Applications in Multiple Attribute Decision Making Problem

Multiple-Valued Neutrosophic Uncertain Linguistic Sets With Dombi Normalized Weighted Bonferroni Mean Operator and Their Applications in Multiple Attribute Decision Making Problem
Author: LIHUA YANG
Publisher: Infinite Study
Total Pages: 22
Release:
Genre: Mathematics
ISBN:

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In order to take into account quantitative and qualitative information in real complex decision making issue, a multiple-valued neutrosophic uncertain linguistic set (MVNULS) is initially proposed, which includes the uncertain linguistic part and the multiple-valued neutrosophic set (MVNS). Consequently, it has the advantages of them in expressing evaluation information.

Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Schweizer–Sklar Muirhead Mean Aggregation Operators

Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Schweizer–Sklar Muirhead Mean Aggregation Operators
Author: Huanying Zhang
Publisher: Infinite Study
Total Pages: 21
Release:
Genre: Mathematics
ISBN:

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Schweizer–Sklar (SS) operation can make information aggregation more flexible, and the Muirhead mean (MM) operator can take into account the correlation between inputs by a variable parameter. Because traditional MM is only available for real numbers and single-valued neutrosophic set (SVNS) can better express incomplete and uncertain information in decision systems, in this paper, we applied MM operators to single-valued neutrosophic sets (SVNSs) and presented two new MM aggregation operators with the SS operation, i.e., a single-valued neutrosophic SS Muirhead mean (SVNSSMM) operator and a weighted single-valued neutrosophic SS MM (WSVNSSMM) operator. We listed some properties of them and some particular cases about various parameter values. We also proposed the multi-criteria decision-making method based on the WSVNSSMM operator in SVNS. At last, we illustrated the feasibility of this method using a numerical example of company investment.

A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator

A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator
Author: Chao Tian
Publisher: Infinite Study
Total Pages: 17
Release:
Genre: Mathematics
ISBN:

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The aggregation operator is one of the most common techniques to solve multi-criteria decision-making (MCDM) problems. The aim of this paper is to propose an MCDM method based on the improved single-valued neutrosophic weighted geometric (ISVNWG) operator. First, the defects of several existing single-valued neutrosophic weighted geometric aggregation operators in terms of producing uncertain results in some special cases are analyzed. Second, an ISVNWG operator is proposed to avoid the defects of existing operators. Further, the properties of the proposed ISVNWG operator, including idempotency, boundedness, monotonicity, and commutativity, are discussed. Finally, a single-valued neutrosophic MCDM method based on the developed ISVNWG operator is proposed to overcome the defects of existing MCDM methods based on existing operators. Application examples demonstrate that our proposed operator and corresponding MCDM method are effective and rational for avoiding uncertain results in some special cases.

Multi-criteria Decision-making Approach based on Multi-valued Neutrosophic Geometric Weighted Choquet Integral Heronian Mean Operator

Multi-criteria Decision-making Approach based on Multi-valued Neutrosophic Geometric Weighted Choquet Integral Heronian Mean Operator
Author: Juan-juan Peng
Publisher: Infinite Study
Total Pages: 14
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Genre:
ISBN:

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Multi-valued neutrosophic sets (MVNSs) have recently become a subject of great interest for researchers, and have been applied widely to multi-criteria decision-making (MCDM) problems.

Neutrosophic Information Theory and Applications

Neutrosophic Information Theory and Applications
Author: Florentin Smarandach
Publisher: Infinite Study
Total Pages: 212
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Genre:
ISBN:

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The concept of Information is to disseminate scientific results achieved via experiments and theoretical results in depth. It is very important to enable researchers and practitioners to learn new technology and findings that enable development in the applied field.

NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment

NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment
Author: Surapati Pramanik
Publisher: Infinite Study
Total Pages: 21
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ISBN:

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A neutrosophic cubic set is the hybridization of the concept of a neutrosophic set and an interva lneutrosophic set.

Linguistic neutrosophic Hamacher aggregation operators and the application in evaluating land reclamation schemes for mines

Linguistic neutrosophic Hamacher aggregation operators and the application in evaluating land reclamation schemes for mines
Author: Weizhang Liang
Publisher: Infinite Study
Total Pages: 29
Release:
Genre: Mathematics
ISBN:

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Land reclamation has become a significant way for the improvement of ecological environment in mining areas. When selecting the optimal land reclamation scheme, LNNs (linguistic neutrosophic numbers) are suitable to describe the complex fuzzy evaluation information through linguistic truth, indeterminacy and falsity membership degrees.

Single Valued Trapezoidal Neutrosophic Multi-Criteria Decision Making Problems - PROMETHEE II

Single Valued Trapezoidal Neutrosophic Multi-Criteria Decision Making Problems - PROMETHEE II
Author: S. Narayanamoorthy
Publisher: Infinite Study
Total Pages: 9
Release:
Genre: Mathematics
ISBN:

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Decision making is a continuous and necessary part of the management of any organization or business activity. By solving the uncertain multi criteria decision making problems we can choose more reliably from the incomplete and complex information in real life dynamic from the decision makers. In this work, we discussed the PROMETHEE-II(Preference Ranking Organization Method For Enrichment Evaluation) for dealing with the Multi Criteria Decision Making problems with Single Valued Trapezoidal Neutrosophic Fuzzy Set in which the multiple alternatives are implemented by the decision makers with respect to the related criteria and the weights are completely unknown. Besides, the criteria weights are estimated based on the pairwise comparison of the criteria. By applying the PROMETHEE-II method, we get a partial and complete ranking order of the alternatives.