Comparison of Plithogenic and Neutrosophic Approaches in Decision Making via Best-Worst Method
Comparison of Plithogenic and Neutrosophic Approaches in Decision Making via Best-Worst Method

Author: S. Sudha

Publisher: Infinite Study

Published: 2022-08-01

Total Pages: 14

ISBN-13:

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Decision making is a comprehensive process comprising of uncertainties that shall be handled with the right selection of decision making approaches. Selection of the optimal alternatives and the best criteria is the expected outcome of any decision making strategy. This paper proposes a decision making model based on the plithogenic pythagorean best –worst method which is an extension of the multi-valued neutrosophic approach of BWM. The efficiency of the developed model is determined with the example pertaining to the optimal selection of the teaching methods based on the attribute values or the sub criteria and it is also compared with the neutrosophic approach. In the proposed model plithogenic and pythagorean neutrosophic sets are used for representing the expert’s opinion.

A Novel Approach of Refined Plithogenic Neutrosophic Sets in Multi Criteria Decision Making
A Novel Approach of Refined Plithogenic Neutrosophic Sets in Multi Criteria Decision Making

Author: S.P. Priyadharshini

Publisher: Infinite Study

Published:

Total Pages: 5

ISBN-13:

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In decision-making problems with sub-attributes Refined Plithogenic Neutrosophic Sets(RPNS) are efficiently used by considering their reality, indeterminacy and falsehood components. In this article a few concepts of RPNS along with union, intersection, complement and partial orders are introduced in a unique approach to cope up with uncertain and conflicting data. Some ideal properties of RPNS based on these perceptions have also been studied. We will implement the concept in order to evaluate the efficacy of the proposed methodology of RPNS in multi criteria decision making with the numerical examples.

A Simplified and Improved Best-Worst Method for Multi-Criteria Decision-Making
A Simplified and Improved Best-Worst Method for Multi-Criteria Decision-Making

Author: Mohit Kumar

Publisher:

Published: 2023

Total Pages: 0

ISBN-13:

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The best-worst method (BWM) is a well-known multi-criteria decision-making (MCDM) method that elicits judgements from a decision maker (DM) in the form of pairwise comparisons. There are two models of BWM that are widely used: non-linear and linear. The main drawback of the non-linear model is the non-uniqueness of the resulting weight set. A linear model gives a unique resulting weight set but with less accuracy than a non-linear model. In this paper, a simplified method is proposed that gives a unique weight set with the same accuracy as non-linear BWM. In the proposed method, first each weight set is associated with some consistent pairwise comparison system and a relationship is established between consistency values and optimal accuracy. Then an algorithm is developed for an optimal modification of the given pairwise comparison system to make it consistent. Here, an optimal modification means that the modified system preserves the original comparison values as much as possible. The weight set associated with this modified consistent pairwise comparison system is the resulting weight set of the proposed model. This weight set is unique and has the same accuracy as the weight sets resulting from the non-linear model of BWM. So if the non-linear model has a unique solution, it is same as the solution of the proposed model. Otherwise the solution of the proposed model is the best among all the solutions of the non-linear model. Thus, the proposed method is an improvement over the BWM. The values of consistency index are also modified based on the proposed method. Finally several examples are taken to illustrate the process and a real-world application (energy efficiency constraints in buildings) is taken to validate the proposed method.

A Novel Plithogenic MCDM Framework for Evaluating the Performance of IoT Based Supply Chain
A Novel Plithogenic MCDM Framework for Evaluating the Performance of IoT Based Supply Chain

Author: Mohamed Grida

Publisher: Infinite Study

Published: 2021-05-07

Total Pages: 19

ISBN-13:

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The Internet of Things (IoT) is used in the Supply chain management (SCM) systems to respond to the globalization of complex and dynamic markets and competitiveness in various supply chain scopes. Despite the current buzz about IoT and its role in the supply chain, there is not enough empirical data or extensive expertise to guide its implementation. Therefore, this paper addresses the ambiguity of assessing the performance of the IoT based supply chain by integrating plithogenic set with both Best-Worst (BWM) and Vlse Kriterijumska Optimizacija Kompromisno Resenje (VIKOR) methods in a decision-making framework tailored for this field. The framework is based on 23 criteria that measure different aspects of the performance. The performance of the framework is assessed according to the plithogenic set theory and to the neutrosophic set theory using a case study of comparing the performance of IoT implantation with the SC of five e-commerce companies using three experts. The case study shows that the proposed framework has more consideration of the contradiction degree of each criteria to improve the accuracy of the evaluation results.

Advances in Decision Making
Advances in Decision Making

Author: Fausto Pedro García Márquez

Publisher: BoD – Books on Demand

Published: 2022-07-27

Total Pages: 192

ISBN-13: 1839694963

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This book presents a comprehensive overview of the principles and practices of decision-making. It highlights the interface between engineering/technology and the organizational, administrative, and planning abilities of decision-making. The chapters address decision-making using real-world case studies. They also discuss decision-making theory as well as relevant analysis techniques. The book blends computational techniques, dynamic analysis, probabilistic methods, and mathematical optimization techniques to support the analysis of multi-criteria decision-making problems with defined constraints and requirements.

New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications
New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications

Author: Florentin Smarandache

Publisher: MDPI

Published: 2019-11-27

Total Pages: 714

ISBN-13: 3039219383

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This book contains 37 papers by 73 renowned experts from 13 countries around the world, on following topics: neutrosophic set; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup and hypergroup; neutrosophic offset; uninorm; neutrosophic offuninorm and offnorm; neutrosophic offconorm; implicator; prospector; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; α-level; ordinary single-valued neutrosophic neighborhood system; ordinary single-valued neutrosophic base and subbase; fuzzy numbers; neutrosophic numbers; neutrosophic symmetric scenarios; performance indicators; financial assets; neutrosophic extended triplet group; neutrosophic quadruple numbers; refined neutrosophic numbers; refined neutrosophic quadruple numbers; multigranulation neutrosophic rough set; nondual; two universes; multiattribute group decision making; nonstandard analysis; extended nonstandard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; nonstandard neutrosophic mobinad set; neutrosophic topology; nonstandard neutrosophic topology; visual tracking; neutrosophic weight; objectness; weighted multiple instance learning; neutrosophic triangular norms; residuated lattices; representable neutrosophic t-norms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely ∨-distributive; probabilistic neutrosophic hesitant fuzzy set; decision-making; Choquet integral; e-marketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.

Plithogeny, Plithogenic Set, Logic, Probability, and Statistics
Plithogeny, Plithogenic Set, Logic, Probability, and Statistics

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2017-10-01

Total Pages: 143

ISBN-13:

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We introduce for the first time the concept of plithogeny in philosophy and, as a derivative, the concepts of plithogenic set / logic / probability / statistics in mathematics and engineering – and the degrees of contradiction (dissimilarity) between the attributes’ values that contribute to a more accurate construction of plithogenic aggregation operators and to the plithogenic relationship of inclusion (partial ordering).

An Integrated Neutrosophic-TOPSIS Approach and Its Application to Personnel Selection: A New Trend in Brain Processing and Analysis
An Integrated Neutrosophic-TOPSIS Approach and Its Application to Personnel Selection: A New Trend in Brain Processing and Analysis

Author: NADA A. NABEEH

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

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Personnel selection is a critical obstacle that influences the success of the enterprise. The complexity of personnel selection is to determine effciently the proper applicantion to fulffll enterprise requirements. The decision makers do their best to match enterprise requirements with the most suitable applicant. Unfortunately, the numerous criterions, alternatives, and goals make the process of choosing among several applicants is very complex and confusing to decision making. The environment of decision making is a multi-criteria decision making surrounded by inconsistency and uncertainty. This paper contributes to support personnel selection process by integrating neutrosophic analytical hierarchy process (AHP) with the technique for order preference by similarity to an ideal solution (TOPSIS) to illustrate an ideal solution amongst different alternatives. A case study on smart village Cairo Egypt is developed based on decision maker's judgments recommendations. The proposed study applies neutrosophic AHP and TOPSIS to enhance the traditional methods of personnel selection to achieve the ideal solutions. By reaching the ideal solutions, the smart village will enhance the resource management for attaining the goals to be a successful enterprise. The proposed method demonstrates a great impact on the personnel selection process rather than the traditional decision-making methods.