Cosine Distance Measure between Neutrosophic Hesitant Fuzzy Linguistic Sets and Its Application in Multiple Criteria Decision Making
Cosine Distance Measure between Neutrosophic Hesitant Fuzzy Linguistic Sets and Its Application in Multiple Criteria Decision Making

Author: Donghai Liu

Publisher: Infinite Study

Published:

Total Pages: 18

ISBN-13:

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This paper proposes a neutrosophic hesitant fuzzy linguistic term set (NHFLTS) based on hesitant fuzzy linguistic term set (HFLTS) and neutrosophic set (NS), which can express the inconsistent and uncertainty information flexibly in multiple criteria decision making problems. The basic operational laws of NHFLTS based on linguistic scale function are also discussed. Then we propose the generalized neutrosophic hesitant fuzzy linguistic distance measure and discuss its properties. Furthermore, a new similarity measure of NHFLTS combines the generalized neutrosophic hesitant fuzzy linguistic distance measure and the cosine function is given. A corresponding cosine distance measure between NHFLTSs is proposed according to the relationship between the similarity measure and the distance measure, and we develop the technique for order preference by similarity to an ideal solution (TOPSIS) method to the obtained cosine distance measure.

Cosine Measures of Linguistic Neutrosophic Numbers and Their Application in Multiple Attribute Group Decision-Making
Cosine Measures of Linguistic Neutrosophic Numbers and Their Application in Multiple Attribute Group Decision-Making

Author: Lilian Shi

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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The linguistic neutrosophic numbers (LNNs) can express the truth, indeterminacy, and falsity degrees independently by three linguistic variables. Hence, they are an effective tool for describing indeterminate linguistic information under linguistic decision-making environments. Similarity measures are usual tools in decision-making problems.

Multiple-criteria Decision-making Based on the Use of Single-valued Neutrosophic Sets and Similarity Measures
Multiple-criteria Decision-making Based on the Use of Single-valued Neutrosophic Sets and Similarity Measures

Author: Dragisa Stanujkic

Publisher: Infinite Study

Published: 2021-02-01

Total Pages: 19

ISBN-13:

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As the generalization of the fuzzy and similar sets based on Fuzzy sets, neutrosophic sets provide significant possibilities in the case of solving complex decision problems, often related to uncertainty and unreliability. Neutrosophic sets use three values named the truth degree, the indeterminacy degree and the falsity degree, which allow for a more accurate evaluation of alternatives in relation to complex evaluation criteria. As a result of their application in solving numerous different decision-making problems, several approaches to their ranking have been proposed. Therefore, this paper provides a comprehensive overview of the approaches to the ranking of single-valued neutrosophic numbers and a comparison of the results obtained by using them. Finally, numerical illustrations are given.

An extended multiple criteria decision making method based on neutrosophic hesitant fuzzy information
An extended multiple criteria decision making method based on neutrosophic hesitant fuzzy information

Author: Peide Liu

Publisher: Infinite Study

Published:

Total Pages: 15

ISBN-13:

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Neutrosophic hesitant fuzzy set is the generalization of neutrosophic set and the hesitant fuzzy set, which can easily express the uncertain, incomplete and inconsistent information in cognitive activity, and the VIKOR (from Serbian:VIseKriterijumska Optimizacija I Kompromisno Resenje) method is an effective decision making tool which can select the optimal alternative by the maximum ‘‘group utility’’ and minimum of an ‘‘individual regret’’ with cognitive computation.

Neutrosophic Sets and Systems, Vol. 35, 2020
Neutrosophic Sets and Systems, Vol. 35, 2020

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 596

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles in this issue: Neutrosophic Soft Fixed Points, Selection of Alternative under the Framework of Single-Valued Neutrosophic Sets, Application of Single Valued Trapezoidal Neutrosophic Numbers in Transportation Problem.

Neutrosophic Sets and Systems
Neutrosophic Sets and Systems

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 143

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

VIKOR Based MAGDM strategy under Bipolar Neutrosophic Set Environment
VIKOR Based MAGDM strategy under Bipolar Neutrosophic Set Environment

Author: Surapati Pramanik

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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In this paper, we extend the VIKOR (VIsekriterijumska optimizacija i KOmpromisno Resenje) strategy to multiple attribute group decision-making (MAGDM) with bipolar neutrosophic set environment. In this paper, we first define VIKOR strategy in bipolar neutrosophic set environment to handle MAGDM problems, which means we combine the VIKOR with bipolar neutrosophic number to deal with MAGDM.

Neutrosophic Sets and Systems, vol. 19/2018
Neutrosophic Sets and Systems, vol. 19/2018

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 143

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.