Novel Power Aggregation OperatorOperators Based on Einstein Operations for Interval Neutrosophic Linguistic Sets PDF Download
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Author: Lihua Yang
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
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Book Description
Interval neutrosophic linguistic sets (INLSs) take the advantages of interval neutrosophic sets (INSs) and linguistic variables (LVs), which can be better to handle the indeterminate and inconsistent information existing in the real world, and the power operator can consider all the decision arguments and their relationship.
Author: Lihua Yang
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
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Book Description
Interval neutrosophic linguistic sets (INLSs) take the advantages of interval neutrosophic sets (INSs) and linguistic variables (LVs), which can be better to handle the indeterminate and inconsistent information existing in the real world, and the power operator can consider all the decision arguments and their relationship.
Author: Changxing Fan
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
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Book Description
Linguistic neutrosophic numbers (LNNs) include single-value neutrosophic numbers and linguistic variable numbers, which have been proposed by Fang and Ye. In this paper, we define the linguistic neutrosophic number Einstein sum, linguistic neutrosophic number Einstein product, and linguistic neutrosophic number Einstein exponentiation operations based on the Einstein operation. Then, we analyze some of the relationships between these operations. For LNN aggregation problems, we put forward two kinds of LNN aggregation operators, one is the LNN Einstein weighted average operator and the other is the LNN Einstein geometry (LNNEWG) operator. Then we present a method for solving decision-making problems based on LNNEWA and LNNEWG operators in the linguistic neutrosophic environment. Finally, we apply an example to verify the feasibility of these two methods.
Author: Baolin Li
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 6
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Book Description
In order to handle the indeterminate information and inconsistent information in some complex decision-making environment, some novel aggregation operators are firstly proposed based on Einstein operational laws and generalized aggregation operators under simplified neutrosophic environment, where the truth-membership degree, indeterminacy-membership degree and falsity-membership degree of each element are singleton subsets in [0,1].
Author: Lihua Yang
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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Book Description
Motivated by the advantages of multi-valued neutrosophic sets (MVNSs) and linguistic variables (LVs), we introduce the concept of multi-valued neutrosophic linguistic sets (MVNLSs) and define the operational laws of multi-valued neutrosophic linguistic numbers (MVNLNs) based on Algebraic operations and the distance measure for MVNLNs.
Author: Harish Garg
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13
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Book Description
Linguistic single-valued neutrosophic set (LSVNS) is a more reliable tool, which is designed to handle the uncertainties of the situations involving the qualitative data. In the present manuscript, we introduce some power aggregation operators (AOs) for the LSVNSs, whose purpose is to diminish the influence of inevitable arguments about the decision-making process.
Author: Lihua Yang
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 8
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Book Description
In order to deal with the indeterminate information and inconsistent information existing common in real decision making problems, an extended Single-valued Neutrosophic Normalized Weighted Bonferroni Mean (SVNNWBM) aggregation operator based on Einstein operations is proposed under single-valued neutrosophic environment. The novel SVNNWBM aggregation operator can not only take into account the interrelationship of the input arguments, but also overcome the shortcomings of unreasonable operations in some cases. Meanwhile, some new operational laws based on Einstein are defined, and some desirable properties of the proposed operator are analyzed. In addition, a decision making method based on the novel operator is given. Finally, to solve multi-criteria decision-making (MCDM) problems, an illustrative example based on the SVNNWBM operator and cosine similarity measure is shown to verify the effectiveness and practicality of the proposed method.
Author: Nancy & Harish Garg
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15
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Book Description
Uncertainties play a dominant role during the aggregation process and hence their corresponding decisions are made fuzzier. Single-value neutrosophic numbers (SVNNs) contain the three ranges: truth, indeterminacy, and falsity membership degrees, and are very useful for describing and handling the uncertainties in the day-to-day life situations. In this study, some operations of SVNNs such as sum, product, and scalar multiplication are deļ¬ned under Frank norm operations and, based on it, some averaging and geometric aggregation operators have been developed. We further establish some of its properties. Moreover, a decision-making method based on the proposed operators is established and illustrated with a numerical example.
Author: Cengiz Kahraman
Publisher: Springer Nature
ISBN: 3030454614
Category : Technology & Engineering
Languages : en
Pages : 551
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Book Description
This book introduces readers to the novel concept of spherical fuzzy sets, showing how these sets can be applied in practice to solve various decision-making problems. It also demonstrates that these sets provide a larger preference volume in 3D space for decision-makers. Written by authoritative researchers, the various chapters cover a large amount of theoretical and practical information, allowing readers to gain an extensive understanding of both the fundamentals and applications of spherical fuzzy sets in intelligent decision-making and mathematical programming.
Author: Zeshui Xu
Publisher: Springer Science & Business Media
ISBN: 3642294405
Category : Mathematics
Languages : en
Pages : 238
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Book Description
This book provides a systematic introduction to linguistic aggregation operators, linguistic preference relations, and various models and approaches to multi-attribute decision making with linguistic information. Offers practical examples, tables and figures.
Author: Jie Wang
Publisher: Infinite Study
ISBN:
Category : Business & Economics
Languages : en
Pages : 17
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Book Description
In this article, we extend the original TODIM (Portuguese acronym for Interactive Multi-Criteria Decision Making) method to the 2-tuple linguistic neutrosophic fuzzy environment to propose the 2TLNNs TODIM method. In the extended method, we use 2-tuple linguistic neutrosophic numbers (2TLNNs) to present the criteria values in multiple attribute group decision making (MAGDM) problems.
