Multi Criteria Decision Making Method Using Heronian Mean Operators Under A Bipolar Neutrosophic Environment
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| Author | : Changxing Fan |
| Publisher | : Infinite Study |
| Total Pages | : 16 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download Multi-Criteria Decision-Making Method Using Heronian Mean Operators under a Bipolar Neutrosophic Environment Book in PDF, Epub and Kindle
In real applications, most decisions are fuzzy decisions, and the decision results mainly depend on the choice of aggregation operators. In order to aggregate information more scientifically and reasonably, the Heronian mean operator was studied in this paper. Considering the advantages and limitations of the Heronian mean (HM) operator, four Heronian mean operators for bipolar neutrosophic number (BNN) are proposed: the BNN generalized weighted HM (BNNGWHM) operator, the BNN improved generalized weighted HM (BNNIGWHM) operator, the BNN generalized weighted geometry HM (BNNGWGHM) operator, and the BNN improved generalized weighted geometry HM (BNNIGWGHM) operator. Then, their propositions were examined. Furthermore, two multi-criteria decision methods based on the proposed BNNIGWHM and BNNIGWGHM operator are introduced under a BNN environment. Lastly, the effectiveness of the new methods was verified with an example.
| Author | : Changxing Fan |
| Publisher | : Infinite Study |
| Total Pages | : 16 |
| Release | : |
| Genre | : Business & Economics |
| ISBN | : |
Download Multi-Criteria Decision-Making Method Using Heronian Mean Operators under a Bipolar Neutrosophic Environment Book in PDF, Epub and Kindle
In real applications, most decisions are fuzzy decisions, and the decision results mainly depend on the choice of aggregation operators. In order to aggregate information more scientifically and reasonably, the Heronian mean operator was studied in this paper.
| Author | : Muhammad Akram |
| Publisher | : Springer Nature |
| Total Pages | : 232 |
| Release | : 2023-05-21 |
| Genre | : Business & Economics |
| ISBN | : 9819905699 |
Download Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets Book in PDF, Epub and Kindle
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.
| Author | : D. Ajay |
| Publisher | : Infinite Study |
| Total Pages | : 24 |
| Release | : 2020-12-01 |
| Genre | : Mathematics |
| ISBN | : |
Download Neutrosophic Cubic Fuzzy Dombi Hamy Mean Operators with Application to Multi-Criteria Decision Making Book in PDF, Epub and Kindle
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.
| Author | : Mohamed Abdel-Basset |
| Publisher | : Infinite Study |
| Total Pages | : 22 |
| Release | : |
| Genre | : Business & Economics |
| ISBN | : |
Download A Bipolar Neutrosophic Multi Criteria Decision Making Framework for Professional Selection Book in PDF, Epub and Kindle
In this paper, we propose a new hybrid neutrosophic multi criteria decision making (MCDM) framework that employs a collection of neutrosophic analytical network process (ANP), and order preference by similarity to ideal solution (TOPSIS) under bipolar neutrosophic numbers. The MCDM framework is applied for chief executive officer (CEO) selection in a case study at the Elsewedy Electric Group, Egypt. The proposed approach allows us to assemble individual evaluations of the decision makers and therefore perform accurate personnel selection. The outcomes of the proposed method are compared with those of the related works such as weight sum model (WSM), weight product model (WPM), analytical hierarchy process (AHP), multi-objective optimization based on simple ratio analysis (MOORA) and ANP methods to prove and validate the results.
| Author | : Juan-juan Peng |
| Publisher | : Infinite Study |
| Total Pages | : 14 |
| Release | : |
| Genre | : |
| ISBN | : |
Download Multi-criteria Decision-making Approach based on Multi-valued Neutrosophic Geometric Weighted Choquet Integral Heronian Mean Operator Book in PDF, Epub and Kindle
Multi-valued neutrosophic sets (MVNSs) have recently become a subject of great interest for researchers, and have been applied widely to multi-criteria decision-making (MCDM) problems.
| Author | : KANIKA MANDAL |
| Publisher | : Infinite Study |
| Total Pages | : 20 |
| Release | : |
| Genre | : |
| ISBN | : |
Download Multi Criteria Decision Making Method in Neutrosophic Environment Using a New Aggregation Operator, Score and Certainty Function Book in PDF, Epub and Kindle
Neutrosophic sets, being generalization of classic sets, fuzzy sets and intuitionistic fuzzy sets, can simultaneously represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. Neutrosophic theory has been developed in twenty first century and not much of arithmetic has been developed for this set.
| Author | : Irfan Deli |
| Publisher | : Infinite Study |
| Total Pages | : 6 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download Bipolar Neutrosophic Sets and Their Application Based on Multi-Criteria Decision Making Problems Book in PDF, Epub and Kindle
In this paper, we introduce concept of bipolar neutrosophic set and its some operations. Also, we propose score, certainty and accuracy functions to compare the bipolar neutrosophic sets.
| Author | : Chao Tian |
| Publisher | : Infinite Study |
| Total Pages | : 17 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator Book in PDF, Epub and Kindle
The aggregation operator is one of the most common techniques to solve multi-criteria decision-making (MCDM) problems. The aim of this paper is to propose an MCDM method based on the improved single-valued neutrosophic weighted geometric (ISVNWG) operator. First, the defects of several existing single-valued neutrosophic weighted geometric aggregation operators in terms of producing uncertain results in some special cases are analyzed. Second, an ISVNWG operator is proposed to avoid the defects of existing operators. Further, the properties of the proposed ISVNWG operator, including idempotency, boundedness, monotonicity, and commutativity, are discussed. Finally, a single-valued neutrosophic MCDM method based on the developed ISVNWG operator is proposed to overcome the defects of existing MCDM methods based on existing operators. Application examples demonstrate that our proposed operator and corresponding MCDM method are effective and rational for avoiding uncertain results in some special cases.
| Author | : Juan-juan Peng |
| Publisher | : Infinite Study |
| Total Pages | : 14 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download Multi-criteria decision-making approach based on single-valued neutrosophic hesitant fuzzy geometric weighted choquet integral heronian mean operator Book in PDF, Epub and Kindle
Single-valued neutrosophic hesitant fuzzy sets (SVNHFSs) have recently become a subject of great interest for researchers, and have been applied widely to multi-criteria decision-making (MCDM) problems. In this paper, the singlevalued neutrosophic hesitant fuzzy geometric weighted Choquet integral Heronian mean operator, which is based on the Heronian mean and Choquet integral, is proposed, and some special cases and the corresponding properties of the operator are discussed. Moreover, based on the proposed operator, an MCDM approach for handling single-valued neutrosophic hesitant fuzzy information where the weights are unknown is investigated. Furthermore, an illustrative example to demonstrate the applicability of the proposed decision-making approach is provided, together with a sensitivity analysis and comparison analysis, which proves that its results are feasible and credible.
