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.

A Robust Single Valued Neutrosophic Soft Aggregation Operators In Multi Criteria Decision Making

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Author : Chiranjibe Jana
language : en
Publisher: Infinite Study
Release Date :

A Robust Single Valued Neutrosophic Soft Aggregation Operators In Multi Criteria Decision Making written by Chiranjibe Jana 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.

Molodtsov originated soft set theory that was provided a general mathematical framework for handling with uncertainties in which we meet the data by affix parameterized factor during the information analysis as differentiated to fuzzy as well as neutrosophic set theory. The main object of this paper is to lay a foundation for providing a new approach of single-valued neutrosophic soft tool which is considering many problems that contain uncertainties.

Linguistic Neutrosophic Hamacher Aggregation Operators And The Application In Evaluating Land Reclamation Schemes For Mines

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Author : Weizhang Liang
language : en
Publisher: Infinite Study
Release Date :

Linguistic Neutrosophic Hamacher Aggregation Operators And The Application In Evaluating Land Reclamation Schemes For Mines written by Weizhang Liang 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.

Land reclamation has become a significant way for the improvement of ecological environment in mining areas. When selecting the optimal land reclamation scheme, LNNs (linguistic neutrosophic numbers) are suitable to describe the complex fuzzy evaluation information through linguistic truth, indeterminacy and falsity membership degrees.

Linguistic Single Valued Neutrosophic Power Aggregation Operators And Their Applications To Group Decision Making Problems

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Author : Harish Garg
language : en
Publisher: Infinite Study
Release Date :

Linguistic Single Valued Neutrosophic Power Aggregation Operators And Their Applications To Group Decision Making Problems 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.

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.

Generalized Single Valued Neutrosophic Power Aggregation Operators Based On Archimedean Copula And Co Copula And Their Application To Multi Attribute Decision Making

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Author : YUAN RONG
language : en
Publisher: Infinite Study
Release Date :

Generalized Single Valued Neutrosophic Power Aggregation Operators Based On Archimedean Copula And Co Copula And Their Application To Multi Attribute Decision Making written by YUAN RONG 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.

Single-valued neutrosophic set (SVN) can valid depict the incompleteness, nondeterminacy and inconsistency of evaluation opinion, and the Power average (PA) operator can take into account the correlation of multiple discussed data. Meanwhile, Archimedean copula and co-copula (ACC) can signicant generate operational laws based upon diverse copulas.

Multiple Attribute Decision Making Method Based On Normalized Geometric Aggregation Operators Of Single Valued Neutrosophic Hesitant Fuzzy Information

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Author : Li Wang
language : en
Publisher: Infinite Study
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Multiple Attribute Decision Making Method Based On Normalized Geometric Aggregation Operators Of Single Valued Neutrosophic Hesitant Fuzzy Information written by Li Wang 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.

As a generalization of both single-valued neutrosophic element and hesitant fuzzy element, single-valued neutrosophic hesitant fuzzy element (SVNHFE) is an efficient tool for describing uncertain and imprecise information. Thus, it is of great significance to deal with single-valued neutrosophic hesitant fuzzy information for many practical problems. In this paper, we study the aggregation of SVNHFEs based on some normalized operations from geometric viewpoint. Firstly, two normalized operations are defined for processing SVNHFEs. Then, a series of normalized aggregation operators which fulfill some basic conditions of a valid aggregation operator are proposed. Additionally, a decision-making method is developed for resolving multi-attribute decision-making problems based on the proposed operators.

Neutrosophic Cubic Einstein Hybrid Geometric Aggregation Operators With Application In Prioritization Using Multiple Attribute Decision Making Method

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Author : Khaleed Alhazaymeh
language : en
Publisher: Infinite Study
Release Date :

Neutrosophic Cubic Einstein Hybrid Geometric Aggregation Operators With Application In Prioritization Using Multiple Attribute Decision Making Method written by Khaleed Alhazaymeh 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.

Viable collection is one of the imperative instruments of decision-making hypothesis. Collection operators are not simply the operators that normalize the value; they represent progressively broad values that can underline the entire information. Geometric weighted operators weight the values only, and the ordered weighted geometric operators weight the ordering position only. Both of these operators tend to the value that relates to the biggest weight segment.

Induced Choquet Integral Aggregation Operators With Single Valued Neutrosophic Uncertain Linguistic Numbers And Their Application In Multiple Attribute Group Decision Making

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Author : Shuping Zhao
language : en
Publisher: Infinite Study
Release Date :

Induced Choquet Integral Aggregation Operators With Single Valued Neutrosophic Uncertain Linguistic Numbers And Their Application In Multiple Attribute Group Decision Making written by Shuping Zhao 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.

For real decision-making problems, aggregating the attributes which have interactive or correlated characteristics by traditional aggregation operators is unsuitable. Thus, applying Choquet integral operator to approximate and simulate human subjective decision-making process, in which independence among the input arguments is not necessarily assumed, would be suitable. Moreover, using single-valued neutrosophic uncertain linguistic sets (SVNULSs) can express the indeterminate, inconsistent, and incomplete information better than FSs and IFSs. In this paper, we studied the MAGDM problems with SVNULSs and proposed two single-valued neutrosophic uncertain linguistic Choquet integrate aggregation operators where the interactions phenomena among the attributes or the experts are considered. First, the definition, operational rules, and comparison method of single-valued neutrosophic uncertain linguistic numbers (SVNULNs) are introduced briefly. Second, induced single-valued neutrosophic uncertain linguistic Choquet ordered averaging (I-SVNULCA) operator and induced single-valued neutrosophic uncertain linguistic Choquet geometric (I-SVNULCG) operator are presented. Moreover, a few of its properties are discussed. Further, the procedure and algorithm of MAGDM based on the above single-valued neutrosophic uncertain linguistic Choquet integral operator are proposed. Finally, in the illustrative example, the practicality and effectiveness of the proposed method would be demonstrated.

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.