A New Method Based on PROMETHEE and TODIM for Multi-Attribute Decision-Making with Single-Valued Neutrosophic Sets

A New Method Based on PROMETHEE and TODIM for Multi-Attribute Decision-Making with Single-Valued Neutrosophic Sets

Author: Dongsheng Xu

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

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In this paper, a new method based on PROMETHEE and TODIM is proposed to solve the MADM problem under the single-valued neutrosophic environment. Based on the calculation formula of inflow and outflow in PROMETHEE method, and the calculation formula of overall dominance in the TODIM method, a new integrated formula is obtained.


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.


VIKOR method for multiple criteria group decision making under 2-tuple linguistic neutrosophic environment

VIKOR method for multiple criteria group decision making under 2-tuple linguistic neutrosophic environment

Author: Guiwu Wei

Publisher: Infinite Study

Published:

Total Pages: 25

ISBN-13:

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In this article, the VIKOR method is proposed to solve the multiple criteria group decision making (MCGDM) with 2-tuple linguistic neutrosophic numbers (2TLNNs). Firstly, the fundamental concepts, operation formulas and distance calculating method of 2TLNNs are introduced. Then some aggregation operators of 2TLNNs are reviewed.


Multi-Attribute Decision-Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital

Multi-Attribute Decision-Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital

Author: Yanran Hong

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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Fuzzy information in venture capital can be well expressed by neutrosophic numbers, and TODIM method is an effective tool for multi-attribute decision-making. The distance measure is an essential step in TODIM method. The keystone of this paper is to define several new distance measures, in particular the improved interval neutrosophic Euclidean distance, and these measures are applied in the TODIM method for multi-attribute decision-making. Firstly, the normalized generalized interval neutrosophic Hausdorff distance is defined and proved to be valid in this paper. Secondly, we define a weighted parameter interval neutrosophic distance and discuss whether different weight parameters affect the decision result based on TODIM method. Thirdly, considering the preference perspective of decision-makers in behavioral economics, we define the improved interval neutrosophic Euclidean distance with the known parameter of risk preference. Finally, an application example is given to compare the effects of different parameters on the result and discuss the feasibility of these two distance measures in TODIM method.


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.


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.


Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 19 / 2018

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 19 / 2018

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2018

Total Pages: 143

ISBN-13: 159973561X

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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.


Uncertain Multi-Attribute Decision Making

Uncertain Multi-Attribute Decision Making

Author: Zeshui Xu

Publisher: Springer

Published: 2015-02-05

Total Pages: 375

ISBN-13: 3662456400

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This book introduces methods for uncertain multi-attribute decision making including uncertain multi-attribute group decision making and their applications to supply chain management, investment decision making, personnel assessment, redesigning products, maintenance services, military system efficiency evaluation. Multi-attribute decision making, also known as multi-objective decision making with finite alternatives, is an important component of modern decision science. The theory and methods of multi-attribute decision making have been extensively applied in engineering, economics, management and military contexts, such as venture capital project evaluation, facility location, bidding, development ranking of industrial sectors and so on. Over the last few decades, great attention has been paid to research on multi-attribute decision making in uncertain settings, due to the increasing complexity and uncertainty of supposedly objective aspects and the fuzziness of human thought. This book can be used as a reference guide for researchers and practitioners working in e.g. the fields of operations research, information science, management science and engineering. It can also be used as a textbook for postgraduate and senior undergraduate students.