Neutrosophic Cubic Fuzzy Dombi Hamy Mean Operators With Application To Multi Criteria Decision Making

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Neutrosophic Cubic Fuzzy Dombi Hamy Mean Operators with Application to Multi-Criteria Decision Making

Author : D. Ajay,J. Aldring,S. Nivetha
Publisher : Infinite Study
Page : 24 pages
File Size : 53,8 Mb
Release : 2020-12-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Cubic Fuzzy Dombi Hamy Mean Operators with Application to Multi-Criteria Decision Making by D. Ajay,J. Aldring,S. Nivetha Pdf

The aim of the paper is to find most optimistic results from among uncertain information or vague data. We theoretically use the notion of neutrosophic cubic sets to create enhanced decision-making models for multi-criteria. The advantage of neutrosophic cubic sets is that it comprehends the knowledge of neutrosophic sets and interval valued neutrosophic sets. Aggregation operators are used to retrieve the core information from a collection of data. So, this research executes aggregation operators for neutrosophic cubic sets dynamically. In this paper we avail the aid of hamy mean and dombi operations to establish fuzzy dombi hamy mean aggregation operators for neutrosophic cubic sets. This paper also explains the algebraic sum and scalar multiplication operations. A decision making methodology has been generated to prove the necessity of the proposed operators. Finally an illustration is provided from a real life decision making situation.

Dombi Aggregation Operators of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making

Author : Lilian Shi ,Jun Ye
Publisher : Infinite Study
Page : 15 pages
File Size : 50,7 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Dombi Aggregation Operators of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making by Lilian Shi ,Jun Ye Pdf

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. In order to solve decision-making problems with flexible operational parameter under neutrosophic cubic environments, the paper extends the Dombi operations to neutrosophic cubic sets and proposes a neutrosophic cubic Dombi weighted arithmetic average (NCDWAA) operator and a neutrosophic cubic Dombi weighted geometric average (NCDWGA) operator. Then, we propose a multiple attribute decision-making (MADM) method based on the NCDWAA and NCDWGA operators. Finally, we provide two illustrative examples of MADM to demonstrate the application and effectiveness of the established method.

Multiple-Valued Neutrosophic Uncertain Linguistic Sets With Dombi Normalized Weighted Bonferroni Mean Operator and Their Applications in Multiple Attribute Decision Making Problem

Author : LIHUA YANG,BAOLIN LI
Publisher : Infinite Study
Page : 22 pages
File Size : 48,9 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Multiple-Valued Neutrosophic Uncertain Linguistic Sets With Dombi Normalized Weighted Bonferroni Mean Operator and Their Applications in Multiple Attribute Decision Making Problem by LIHUA YANG,BAOLIN LI Pdf

In order to take into account quantitative and qualitative information in real complex decision making issue, a multiple-valued neutrosophic uncertain linguistic set (MVNULS) is initially proposed, which includes the uncertain linguistic part and the multiple-valued neutrosophic set (MVNS). Consequently, it has the advantages of them in expressing evaluation information.

Neutrosophic Sets and Systems, Vol. 38, 2020

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 662 pages
File Size : 55,6 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Vol. 38, 2020 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi Pdf

“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.

Multiple Attribute Group Decision Making Based on 2-Tuple Linguistic Neutrosophic Dombi Power Heronian Mean Operators

Author : Peide Liu, Qaisar Khan,Tahir Mahmood,Florentin Smarandache,Ying Li
Publisher : Infinite Study
Page : 22 pages
File Size : 42,7 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Multiple Attribute Group Decision Making Based on 2-Tuple Linguistic Neutrosophic Dombi Power Heronian Mean Operators by Peide Liu, Qaisar Khan,Tahir Mahmood,Florentin Smarandache,Ying Li Pdf

As an expansion of 2-tuple linguistic intuitionistic fuzzy set, the newly developed 2-tuple linguistic neutrosophic set (2-TLNS) is more satisfactory to define decision maker’s assessment information in decision making problems. 2-TLN aggregation operators are of great significance in multiple attribute group decision making (MAGDM) problems with a 2-tuple linguistic environment. Therefore, in this article our main contribution is to develop novel 2-TLN power Heronian aggregation (2-TLNPHM) operators.

New Dombi aggregation operators on bipolar neutrosophic set with application in multi-attribute decision-making problems

Author : Muhammad Gulfam,Muhammad Khalid Mahmood,Florentin Smarandache,Shahbaz Ali
Publisher : Infinite Study
Page : 19 pages
File Size : 53,7 Mb
Release : 2021-07-01
Category : Mathematics
ISBN : 8210379456XXX

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New Dombi aggregation operators on bipolar neutrosophic set with application in multi-attribute decision-making problems by Muhammad Gulfam,Muhammad Khalid Mahmood,Florentin Smarandache,Shahbaz Ali Pdf

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.

Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets

Author : Muhammad Akram,Shumaiza,José Carlos Rodríguez Alcantud
Publisher : Springer Nature
Page : 232 pages
File Size : 46,7 Mb
Release : 2023-05-21
Category : Business & Economics
ISBN : 9789819905690

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Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets by Muhammad Akram,Shumaiza,José Carlos Rodríguez Alcantud Pdf

This monograph discusses the theoretical and practical development of multicriteria decision making (MCDM). The main purpose of MCDM is the construction of systematized strategies for the "optimisation" of feasible options, as well as the justification of why some alternatives can be declared "optimal". However, at time, we must make decisions in an uncertain environment and such inconvenience gives rise to a much more elaborate scenario. This book highlights models where this lack of certainty can be flexibly fitted in and goes on to explore valuable strategies for making decisions under a multiplicity of criteria. Methods discussed include bipolar fuzzy TOPSIS method, bipolar fuzzy ELECTRE-I method, bipolar fuzzy ELECTRE-II method, bipolar fuzzy VIKOR method, bipolar fuzzy PROMETHEE method, and two-tuple linguistic bipolar fuzzy Heronian mean operators. This book is a valuable resource for researchers, computer scientists, and social scientists alike.

Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions

Author : Muhammad Gulistan,Mutaz Mohammad,Faruk Karaaslan,Seifedine Kadry, Salma Khan,Hafiz Abdul Wahab
Publisher : Infinite Study
Page : 21 pages
File Size : 44,6 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions by Muhammad Gulistan,Mutaz Mohammad,Faruk Karaaslan,Seifedine Kadry, Salma Khan,Hafiz Abdul Wahab Pdf

This article introduces the concept of Heronian mean operators, geometric Heronian mean operators, neutrosophic cubic number–improved generalized weighted Heronian mean operators, neutrosophic cubic number–improved generalized weighted geometric Heronian mean operators. These operators actually generalize the operators of fuzzy sets, cubic sets, and neutrosophic sets. We investigate the average weighted operator on neutrosophic cubic sets and weighted geometric operator on neutrosophic cubic sets to aggregate the neutrosophic cubic information. After this, based on average weighted and geometric weighted and cosine similarity function in neutrosophic cubic sets, we developed a multiple attribute group decision-making method. Finally, we give a mathematical example to illustrate the usefulness and application of the proposed method.

Neutrosophic Sets and Systems, vol. 48/2022

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 496 pages
File Size : 49,6 Mb
Release : 2022-02-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 48/2022 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi Pdf

“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).

Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment

Author : Harish Garg,Nancy
Publisher : Infinite Study
Page : 25 pages
File Size : 55,7 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment by Harish Garg,Nancy Pdf

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

Author : Majid Khan , Muhammad Gulistan, Mumtaz Ali,Wathek Chammam
Publisher : Infinite Study
Page : 17 pages
File Size : 52,6 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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The Generalized Neutrosophic Cubic Aggregation Operators and Their Application to Multi-Expert Decision-Making Method by Majid Khan , Muhammad Gulistan, Mumtaz Ali,Wathek Chammam Pdf

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).

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

Author : Chiranjibe Jana ,Madhumangal Pal
Publisher : Infinite Study
Page : 19 pages
File Size : 49,8 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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A Robust Single-Valued Neutrosophic Soft Aggregation Operators in Multi-Criteria Decision Making by Chiranjibe Jana ,Madhumangal Pal Pdf

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.

Some Single-Valued Neutrosophic Dombi Weighted Aggregation Operators for Multiple Attribute Decision-Making

Author : Jiqian Chen , Jun Ye
Publisher : Infinite Study
Page : 11 pages
File Size : 44,8 Mb
Release : 2024-07-03
Category : Electronic
ISBN : 8210379456XXX

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Some Single-Valued Neutrosophic Dombi Weighted Aggregation Operators for Multiple Attribute Decision-Making by Jiqian Chen , Jun Ye Pdf

The Dombi operations of T-norm and T-conorm introduced by Dombi can have the advantageofgoodflexibilitywiththeoperationalparameter. Inexistingstudies,however,theDombi operations have so far not yet been used for neutrosophic sets.

Some Linguistic Neutrosophic Cubic Mean Operators and Entropy with Applications in a Corporation to Choose an Area Supervisor

Author : Muhammad Gulistan ,Hafiz Abdul Wahab,Florentin Smarandache,Salma Khan,Sayed Inayat Ali Shah
Publisher : Infinite Study
Page : 30 pages
File Size : 42,5 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Some Linguistic Neutrosophic Cubic Mean Operators and Entropy with Applications in a Corporation to Choose an Area Supervisor by Muhammad Gulistan ,Hafiz Abdul Wahab,Florentin Smarandache,Salma Khan,Sayed Inayat Ali Shah Pdf

In this paper, we combined entropy with linguisti neutrosophic cubic numbers and used it in daily life problems related to a corporation that is going to choose an area supervisor, which is the main target of our proposed model. For this, we first develop the theory of linguistic neutrosophic cubic numbers, which explains the indeterminate and incomplete information by truth, indeterminacy and falsity linguistic variables (LVs) for the past, present, as well as for the future time very effectively. After giving the definitions, we initiate some basic operations and properties of linguistic neutrosophic cubic numbers. We also define the linguistic neutrosophic cubic Hamy mean operator and weighted linguistic neutrosophic cubic Hamy mean (WLNCHM) operator with some properties, which can handle multi-input agents with respect to the different time frame. Finally, as an application, we give a numerical example in order to test the applicability of our proposed model.

Some Interval Neutrosophic Dombi Power Bonferroni Mean Operators and Their Application in Multi–Attribute Decision–Making

Author : Qaisar Khan, Peide Liu,Tahir Mahmood , Florentin Smarandache,Kifayat Ullah
Publisher : Infinite Study
Page : 32 pages
File Size : 45,8 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Some Interval Neutrosophic Dombi Power Bonferroni Mean Operators and Their Application in Multi–Attribute Decision–Making by Qaisar Khan, Peide Liu,Tahir Mahmood , Florentin Smarandache,Kifayat Ullah Pdf

The power Bonferroni mean (PBM) operator is a hybrid structure and can take the advantage of a power average (PA) operator, which can reduce the impact of inappropriate data given by the prejudiced decision makers (DMs) and Bonferroni mean (BM) operator, which can take into account the correlation between two attributes. In recent years, many researchers have extended the PBM operator to handle fuzzy information.