Algorithms for single-valued neutrosophic decision making based on TOPSIS and clustering methods with new distance measure

Algorithms for single-valued neutrosophic decision making based on TOPSIS and clustering methods with new distance measure PDF Author: Harish Garg
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 23

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Book Description
Single-valued neutrosophic set (SVNS) is an important contrivance for directing the decision-making queries with unknown and indeterminant data by employing a degree of “acceptance”, “indeterminacy”, and “non-acceptance” in quantitative terms. Under this set, the objective of this paper is to propose some new distance measures to find discrimination between the SVNSs. The basic axioms of the measures have been highlighted and examined their properties. Furthermore, to examine the relevance of proposed measures, an extended TOPSIS (“technique for order preference by similarity to ideal solution”) method is introduced to solve the group decision-making problems. Additionally, a new clustering technique is proposed based on the stated measures to classify the objects. The advantages, comparative analysis as well as superiority analysis is given to shows its influence over existing approaches.

Algorithms for single-valued neutrosophic decision making based on TOPSIS and clustering methods with new distance measure

Algorithms for single-valued neutrosophic decision making based on TOPSIS and clustering methods with new distance measure PDF Author: Harish Garg
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 23

Get Book Here

Book Description
Single-valued neutrosophic set (SVNS) is an important contrivance for directing the decision-making queries with unknown and indeterminant data by employing a degree of “acceptance”, “indeterminacy”, and “non-acceptance” in quantitative terms. Under this set, the objective of this paper is to propose some new distance measures to find discrimination between the SVNSs. The basic axioms of the measures have been highlighted and examined their properties. Furthermore, to examine the relevance of proposed measures, an extended TOPSIS (“technique for order preference by similarity to ideal solution”) method is introduced to solve the group decision-making problems. Additionally, a new clustering technique is proposed based on the stated measures to classify the objects. The advantages, comparative analysis as well as superiority analysis is given to shows its influence over existing approaches.

Algorithms for neutrosophic soft decision making based on EDAS, new similarity measure and level soft set

Algorithms for neutrosophic soft decision making based on EDAS, new similarity measure and level soft set PDF Author: Xindong Peng
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 14

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Book Description
This paper presents three novel single-valued neutrosophic soft set (SVNSS) methods. First, we initiate a new axiomatic definition of single-valued neutrosophic similarity measure, which is expressed by single-valued neutrosophic number (SVNN) that will reduce the information loss and remain more original information.

Neutrosophic Sets and Systems, vol. 51/2022

Neutrosophic Sets and Systems, vol. 51/2022 PDF Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 970

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Book Description
“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. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Neutrosophic Sets and Systems, Vol. 47, 2021

Neutrosophic Sets and Systems, Vol. 47, 2021 PDF Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Antiques & Collectibles
Languages : en
Pages : 652

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Book Description
Papers on neutrosophic statistics, neutrosophic probability, plithogenic set, paradoxism, neutrosophic set, NeutroAlgebra, etc. and their applications.

(T, S)-Based Single-Valued Neutrosophic Number Equivalence Matrix and Clustering Method

(T, S)-Based Single-Valued Neutrosophic Number Equivalence Matrix and Clustering Method PDF Author: Jiongmei Mo
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 16

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Book Description
Fuzzy clustering is widely used in business, biology, geography, coding for the internet and more. A single-valued neutrosophic set is a generalized fuzzy set, and its clustering algorithm has attracted more and more attention. An equivalence matrix is a common tool in clustering algorithms.

A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment

A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment PDF Author: Nancy
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 15

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Book Description
The theme of this work is to present an axiomatic definition of divergence measure for single-valued neutrosophic sets (SVNSs). The properties of the proposed divergence measure have been studied. Further, we develop a novel technique for order preference by similarity to ideal solution (TOPSIS) method for solving single-valued neutrosophic multi-criteria decision-making with incomplete weight information. Finally, a numerical example is presented to verify the proposed approach and to present its effectiveness and practicality.

ALGORITHMS FOR INTERVAL NEUTROSOPHIC MULTIPLE ATTRIBUTE DECISION-MAKING BASED ON MABAC, SIMILARITY MEASURE, AND EDAS

ALGORITHMS FOR INTERVAL NEUTROSOPHIC MULTIPLE ATTRIBUTE DECISION-MAKING BASED ON MABAC, SIMILARITY MEASURE, AND EDAS PDF Author: Xindong Peng
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 27

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Book Description
In this paper, we define a new axiomatic definition of interval neutrosophic similarity measure, which is presented by interval neutrosophic number (INN).

Integrated Weighted Distance Measure for Single-Valued Neutrosophic Linguistic Sets and Its Application in Supplier Selection

Integrated Weighted Distance Measure for Single-Valued Neutrosophic Linguistic Sets and Its Application in Supplier Selection PDF Author: Erhua Zhang
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10

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Book Description
The purpose of this study is to propose an integrated distance-based methodology for multiple attribute group decision making (MAGDM) within single-valued neutrosophic linguistic (SVNL) environments. A new SVNL distance measure, namely the SVNL integrated weighted distance (SVNLIWD) measure, is first developed for achieving the aim.

Decision Making Using AI in Energy and Sustainability

Decision Making Using AI in Energy and Sustainability PDF Author: Gülgün Kayakutlu
Publisher: Springer Nature
ISBN: 3031383877
Category : Business & Economics
Languages : en
Pages : 308

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Book Description
Artificial intelligence (AI) has a huge impact on science and technology, including energy, where access to resources has been a source of geopolitical conflicts. AI can predict the demand and supply of renewable energy, optimize efficiency in energy systems, and improve the management of natural energy resources, among other things. This book explores the use of AI tools for improving the management of energy systems and providing sustainability with smart cities, smart facilities, smart buildings, smart transportation, and smart houses. Featuring research from International Federation for Information Processing's (IFIP) “AI in Energy and Sustainability” working group, this book provides new models and algorithms for AI applications in energy and sustainability fields. Any short-term, mid-term and long-term forecasting, optimization models, trend foresights and prescriptions based on scenarios are studied in the energy world and the smart systems for sustainability. The contents of this book are valuable for energy researchers, academics, scholars, practitioners and policy makers.

Handbook of Research on Advances and Applications of Fuzzy Sets and Logic

Handbook of Research on Advances and Applications of Fuzzy Sets and Logic PDF Author: Broumi, Said
Publisher: IGI Global
ISBN: 179987981X
Category : Mathematics
Languages : en
Pages : 944

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Book Description
Fuzzy logic, which is based on the concept of fuzzy set, has enabled scientists to create models under conditions of imprecision, vagueness, or both at once. As a result, it has now found many important applications in almost all sectors of human activity, becoming a complementary feature and supporter of probability theory, which is suitable for modelling situations of uncertainty derived from randomness. Fuzzy mathematics has also significantly developed at the theoretical level, providing important insights into branches of traditional mathematics like algebra, analysis, geometry, topology, and more. With such widespread applications, fuzzy sets and logic are an important area of focus in mathematics. The Handbook of Research on Advances and Applications of Fuzzy Sets and Logic studies recent theoretical advances of fuzzy sets and numbers, fuzzy systems, fuzzy logic and their generalizations, extensions, and more. This book also explores the applications of fuzzy sets and logic applied to science, technology, and everyday life to further provide research on the subject. This book is ideal for mathematicians, physicists, computer specialists, engineers, practitioners, researchers, academicians, and students who are looking to learn more about fuzzy sets, fuzzy logic, and their applications.