Aggregation Operators
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Aggregation Operators
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Author : Tomasa Calvo
language : en
Publisher: Physica
Release Date : 2012-12-06
Aggregation Operators written by Tomasa Calvo and has been published by Physica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
1. The increasing number of research papers appeared in the last years that either make use of aggregation functions or contribute to its theoretieal study asses its growing importance in the field of Fuzzy Logie and in others where uncertainty and imprecision play a relevant role. Since these papers are pub lished in many journals, few books and several proceedings of conferences, books on aggregation are partieularly welcome. To my knowledge, "Agrega tion Operators. New Trends and Applications" is the first book aiming at generality , and I take it as a honour to write this Foreword in response to the gentle demand of its editors, Radko Mesiar, Tomasa Calvo and Gaspar Mayor. My pleasure also derives from the fact that twenty years aga I was one of the first Spaniards interested in the study of aggregation functions, and this book includes work by several Spanish authors. The book contains nice and relevant original papers, authored by some of the most outstanding researchers in the field, and since it can serve, as the editors point out in the Preface, as a small handbook on aggregation, the book is very useful for those entering the subject for the first time. The book also contains apart dealing with potential areas of application, so it can be helpful in gaining insight on the future developments.
Aggregation Operators For Various Extensions Of Fuzzy Set And Its Applications In Transportation Problems
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Author : Akansha Mishra
language : en
Publisher: Springer Nature
Release Date : 2020-08-19
Aggregation Operators For Various Extensions Of Fuzzy Set And Its Applications In Transportation Problems written by Akansha Mishra and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-19 with Technology & Engineering categories.
This book introduces readers to the fundamentals of transportation problems under the fuzzy environment and its extensions. It also discusses the limitations and drawbacks of (1) recently proposed aggregation operators under the fuzzy environment and its various extensions; (2) recently proposed methods for solving transportation problems under the fuzzy environment; and (3) recently proposed methods for solving transportation problems under the intuitionistic fuzzy environment. In turn, the book proposes simplified methods to overcome these limitations.
Aggregation Operators
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Author : Tomasa Calvo
language : en
Publisher:
Release Date : 2002-04-10
Aggregation Operators written by Tomasa Calvo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-10 with categories.
New Dombi Aggregation Operators On Bipolar Neutrosophic Set With Application In Multi Attribute Decision Making Problems
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Author : Muhammad Gulfam
language : en
Publisher: Infinite Study
Release Date : 2021-07-01
New Dombi Aggregation Operators On Bipolar Neutrosophic Set With Application In Multi Attribute Decision Making Problems written by Muhammad Gulfam and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-01 with Mathematics categories.
In this paper, we investigate two new Dombi aggregation operators on bipolar neutrosophic set namely bipolar neutrosophic Dombi prioritized weighted geometric aggregation (BNDPWGA) and bipolar neutrosophic Dombi prioritized ordered weighted geometric aggregation (BNDPOWGA) by means of Dombi t-norm (TN) and Dombi t-conorm (TCN). We discuss their properties along with proofs and multi-attribute decision making (MADM) methods in detail. New algorithms based on proposed models are presented to solve multi-attribute decision-making (MADM) problems. In contrast, with existing techniques a comparison analysis of proposed methods are also demonstrated to test their validity, accuracy and significance.
Modeling Decisions
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Author : Vicenç Torra
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-11
Modeling Decisions written by Vicenç Torra and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-11 with Computers categories.
This book covers the underlying science and application issues related to aggregation operators, focusing on tools used in practical applications that involve numerical information. It will thus be required reading for engineers, statisticians and computer scientists of all kinds. Starting with detailed introductions to information fusion and integration, measurement and probability theory, fuzzy sets, and functional equations, the authors then cover numerous topics in detail, including the synthesis of judgements, fuzzy measures, weighted means and fuzzy integrals.
A Bibliometric Analysis Of Aggregation Operators
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Author : Fabio Blanco-Mesa
language : en
Publisher: Infinite Study
Release Date :
A Bibliometric Analysis Of Aggregation Operators written by Fabio Blanco-Mesa and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Aggregation operators consist of mathematical functions that enable the combining and processing of different types of information. The aim of this work is to present the main contributions in this field by a bibliometric review approach. The paper employs an extensive range of bibliometric indicators using the Web of Science (WoS) Core Collection and Scopus datasets. The work considers leading journals, articles, authors, institutions countries and patterns. This paper highlights that Xu is the most productive author and Yager is the most influential author in the field. Likewise, China is leading the field with many new researchers who have entered the field in recent years. This discipline has been strengthening to create a unique theory and will continue to expand with many new theoretical developments and applications.
Spherical Fuzzy Logarithmic Aggregation Operators Based On Entropy And Their Application In Decision Support Systems
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Author : Yun Jin
language : en
Publisher: Infinite Study
Release Date :
Spherical Fuzzy Logarithmic Aggregation Operators Based On Entropy And Their Application In Decision Support Systems written by Yun Jin and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Keeping in view the importance of new defined and well growing spherical fuzzy sets, in this study, we proposed a novel method to handle the spherical fuzzy multi-criteria group decision-making (MCGDM) problems. Firstly, we presented some novel logarithmic operations of spherical fuzzy sets (SFSs). Then, we proposed series of novel logarithmic operators, namely spherical fuzzy weighted average operators and spherical fuzzy weighted geometric operators.
Multi Criteria Decision Making Method Based On Prioritized Muirhead Mean Aggregation Operator Under Neutrosophic Set Environment
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Author : Harish Garg
language : en
Publisher: Infinite Study
Release Date :
Multi Criteria Decision Making Method Based On Prioritized Muirhead Mean Aggregation Operator Under Neutrosophic Set Environment written by Harish Garg and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.
The Generalized Neutrosophic Cubic Aggregation Operators And Their Application To Multi Expert Decision Making Method
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Author : Majid Khan
language : en
Publisher: Infinite Study
Release Date :
The Generalized Neutrosophic Cubic Aggregation Operators And Their Application To Multi Expert Decision Making Method written by Majid Khan and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
In the modern world, the computation of vague data is a challenging job. Different theories are presented to deal with such situations. Amongst them, fuzzy set theory and its extensions produced remarkable results. Smarandache extended the theory to a new horizon with the neutrosophic set (NS), which was further extended to interval neutrosophic set (INS).
Dombi Aggregation Operators Of Neutrosophic Cubic Sets For Multiple Attribute Decision Making
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Author : Lilian Shi
language : en
Publisher: Infinite Study
Release Date :
Dombi Aggregation Operators Of Neutrosophic Cubic Sets For Multiple Attribute Decision Making written by Lilian Shi and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The neutrosophic cubic set can describe complex decision-making problems with its single-valued neutrosophic numbers and interval neutrosophic numbers simultaneously. The Dombi operations have the advantage of good flexibility with the operational parameter.