A Novel Approach Of Refined Plithogenic Neutrosophic Sets In Multi Criteria Decision Making
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| Author | : S.P. Priyadharshini |
| Publisher | : Infinite Study |
| Total Pages | : 5 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
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.
| Author | : S.P. Priyadharshini |
| Publisher | : Infinite Study |
| Total Pages | : 11 |
| Release | : 2021-08-01 |
| Genre | : Mathematics |
| ISBN | : |
In the wider problem-solving process, decision-making requires knowledge to choose the possible and optimum solution in the real time. Decision making become further complicated if the available criteria are more. In this research work our intend is to study the behaviour of Multi-Dimensional Single valued Plithogenic Neutrosophic Sets(MSVPNS) used in multi criteria decision making with multi values of attributes. We also introduce a novel method to find the optimum solution of Single valued Plithogenic Neutrosophic Sets(SVPNS) with its operators. We apply this concept in the field of agriculture which deals with multi values of attribute and obtain a fruitful result for practising agriculture in a successful way.
| Author | : S. Sudha |
| Publisher | : Infinite Study |
| Total Pages | : 28 |
| Release | : 2023-01-01 |
| Genre | : Mathematics |
| ISBN | : |
The theory of plithogeny developed by Smarandache is described as a more generalized form of representing sets of different nature such as crisp, fuzzy, intuitionistic and neutrosophic. Plithogenic set comprises degree of appurtenance and contradiction degree with respect only to the dominant attribute. This paper introduces extended plithogenic sets comprising degrees of appurtenance and contradiction with respect to both dominant and recessive attributes. The extension of the 5-tuple Plithogenic sets to a 7- tuple plithogenic sets helps in developing a more comprehensive kind of Plithogenic sociogram. The newly developed plithogenic sets and its implications in Plithogenic sociogram is validated by the decision making problem on food processing industries. The obtained results using extended plithogenic sets are more promising in comparison to the conventional plithogenic sets. The proposed kind of plithogenic sets will benefit the decision makers to make optimal decisions based on both optimistic and pessimistic approaches.
| Author | : Abdel-Basset, Mohamed |
| Publisher | : IGI Global |
| Total Pages | : 418 |
| Release | : 2024-09-12 |
| Genre | : Business & Economics |
| ISBN | : |
In the rising information technology trends, cost, time, delivery, space, quality, durability, and price are all paramount in addressing managerial decision-making complexities within the supply chain, transportation, and inventory control. The intensifying competition within imprecise environments further complicates these challenges. Customer demand, influenced by multifaceted factors such as production price and income levels, often remains elusive or unpredictable in the real-world market. Fuzzy sets, while useful, need to catch up in directly capturing such uncertainties due to their numeric membership functions. Multi-Criteria Decision Making Models and Techniques: Neutrosophic Approaches explores the neutrosophic sets as a solution, uniquely poised to accommodate inherent uncertainties. Neutrosophic sets and logic are evolutionary extensions of fuzzy and intuitionistic fuzzy sets and logic. In real-world problems, these diverse uncertain systems demonstrate a capability to manage heightened levels of uncertainty. This book delves into the burgeoning field of neutrosophic theory, elucidating its application in operations research. Neutrosophic sets and logic have emerged as pivotal tools in grappling with uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy.
| Author | : Nguyen Tho Thong |
| Publisher | : Infinite Study |
| Total Pages | : 20 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
This study introduces an extension of dynamic internal-valued neutrosophic sets namely generalized dynamic internal-valued neutrosophic sets. Based on this extension, we develop some operators and a TOPSIS method to deal with the change of both criteria, alternatives, and decision-makers by time. In addition, this study also applies the proposal model to a real application that facilitates ranking students according to attitude-skill-knowledge evaluation model. This application not only illustrates the correctness of the proposed model but also introduces its high potential appliance in the education domain.
| Author | : Surapati Pramanik |
| Publisher | : Infinite Study |
| Total Pages | : 7 |
| Release | : |
| Genre | : |
| ISBN | : |
In the paper, multi criteria group decision making model has been presented based on tangent similarity measure of neutrosophic refined set. Simplified form of tangent similarity measure in neutrosophic refined set has been presented. New ranking method has been proposed based on refined tangent similarity measure. The proposed approach has been illustrated by solving a teacher selection problem in neutrosophic refined set environment.
| Author | : Kalyan Mondal |
| Publisher | : Infinite Study |
| Total Pages | : 15 |
| Release | : |
| Genre | : |
| ISBN | : |
Multi-criteria group decision making (MCGDM) strategy, which consists of a group of experts acting collectively for best selection among all possible alternatives with respect to some criteria, is focused on in this study. To develop the paper, we define linguistic neutrosophic refine set. We also define entropy to calculate unknown weights of the criteria and establish basic properties of entropy in linguistic neutrosophy refine set environment. In the developed strategy, the rating of all alternatives is expressed with linguistic variables.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 596 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
“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. Some articles in this issue: Neutrosophic Soft Fixed Points, Selection of Alternative under the Framework of Single-Valued Neutrosophic Sets, Application of Single Valued Trapezoidal Neutrosophic Numbers in Transportation Problem.
| Author | : Wen Jiang |
| Publisher | : Infinite Study |
| Total Pages | : 13 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Multi-attribute decision-making refers to the decision-making problem of selecting the optimal alternative or sorting the scheme when considering multiple attributes, which is widely used in engineering design, economy, management and military, etc. But in real application, the attribute information of many objects is often inaccurate or uncertain, so it is very important for us to find a useful and efficient method to solve the problem. Neutrosophic set is proposed from philosophical point of view to handle inaccurate information efficiently, and a single-valued neutrosophic set (SVNS) is a special case of neutrosophic set, which is widely used in actual application fields. In this paper, a new method based on single-valued neutrosophic sets aggregation to solve multi-attribute decision making problem is proposed. Firstly, the neutrosophic decision matrix is obtained by expert assessment, a score function of single-valued neutrosophic sets (SVNSs) is defined to obtain the positive ideal solution (PIS) and the negative ideal solution (NIS). Then all alternatives are aggregated based on TOPSIS method to make decision. Finally numerical examples are given to verify the feasibility and rationality of the method.
| Author | : Minxia Luo |
| Publisher | : Infinite Study |
| Total Pages | : 15 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this paper, a new tangent similarity between single valued neutrosophic sets is given, which contain tangent similarity [23] as a special case. A best-worst multi-criteria decision making method based on the single valued neutrosophic sets is proposed. To achieve this goal, we design an algorithm to identify the best andworst criteria through computing the outdegrees and in-degrees of the collective single valued neutrosophic preference relation directed network, and then calculate the optimal weight vector of attributes. Moreover, a mathematical model corresponding to the definitions of consistent single valued neutrosophic preference relation is contracted. Finaly, the evaluation values of all alternatives are calculated by the proposed new tangent similarity.
