ChatGPT: Virtual Creative Model

Abduallah

doi:https://doi.org/10.54216/NIF.010203

International Journal of Neutrosophic Science | 2023

Applications of Extended Plithogenic Sets in Plithogenic Sociogram

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.

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S.Sudha mail -

Nivetha Martin mail -

Florentin Smarandache mail

link https://doi.org/10.54216/IJNS.200401

Volume & Issue

Vol. Volume 20 / Iss. Issue 4

Details open_in_new

International Journal of Neutrosophic Science | 2023

An Introduction to M-Open Sets in Fuzzy Neutrosophic Topological Spaces

A new classes of sets called fuzzy neutrosophic M-open sets and fuzzy neutrosophic M-Closed sets in fuzzy neutrosophic topology are introduced some characterizations of these notions have been presented.   After given the fundamental definitions of the new notions, we studided some theorems, propositions and some necessary relations with examples related to these notions had been discussed.

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Zahraa A. Khalaf mail -

Fatimah M. Mohammed mail

link https://doi.org/10.54216/IJNS.200402

Volume & Issue

Vol. Volume 20 / Iss. Issue 4

Details open_in_new

International Journal of Neutrosophic Science | 2023

Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces

In this paper, we introduce the notion of non- Archimedean neutrosophic normed space and also establish Hyers-Ulam-Rassias-type stability results concerning the Cauchy, Pexiderized  Cauchy. We determine some stability results concerning the Cauchy, Jensen and its Pexiderized functional equations in the framework of non-Archimedean Neutrosophic Normed Space. This work indeed presents a relationship between four various disciplines, the theory of neutrosophic normed space, non – Archimedean, Hyers-Ulam-Rassias stability and functional equation.

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R. Muthuraj mail -

K. Nachammal mail -

M. Jeyaraman mail

link https://doi.org/10.54216/IJNS.200403

Volume & Issue

Vol. Volume 20 / Iss. Issue 4

Details open_in_new

International Journal of Neutrosophic Science | 2023

New Types of Soft Sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set

This is a review paper, where we recall the definitions together with practical applications of the Soft Set and its extensions to HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set.

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Florentin Smarandache mail

link https://doi.org/10.54216/IJNS.200404

Volume & Issue

Vol. Volume 20 / Iss. Issue 4

Details open_in_new

International Journal of Neutrosophic Science | 2023

Bipolar fuzzy hypersoft set and its application in decision making

Smarandache developed the idea of hypersoft set (HSS) theory as an extension of soft set (SS) theory. HSS provides a general mathematical framework for handling data that can be formulated as several trait-valued disjoint sets which blend to various traits. The major goal of this article is to lay the footing for supplying a new model called bipolar fuzzy hypersoft sets (BFHSSs) by linking both fuzzy sets (FSs) and HSSs under bipolarity property. By using positive and negative membership functions and multi-argument functions, these structures work best for testing uncertainty. This makes them better at solving real-world problems, especially ones that have both good and bad sides. This paper also has different operations for BFHSSs, such as absolute BFHSS, null BFHSS, complement, subset, union, intersection, and their related properties. Moreover, operations like OR and AND for BFHSS have been instituted. Some properties are demonstrated, and some numerical examples are given to illustrate the mechanism of using these tools. Finally, these tools are applied in the decision-making process based on an algorithm that is built.

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Ashraf Al-Quran mail -

Faisal Al-Sharqi mail -

Kifayat Ullah mail -

Mamika Ujianita Romdhini mail -

Marwa Balti mail -

Mohammed Alomair mail

link https://doi.org/10.54216/IJNS.200405

Volume & Issue

Vol. Volume 20 / Iss. Issue 4

Details open_in_new

International Journal of Neutrosophic Science | 2023

A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets

In this paper, we introduce the concepts of neutrosophic hesitant fuzzy UP (BCC)-subalgebras, UP (BCC)-ideals, and strong UP (BCC)-ideals of UP (BCC)-algebras. The characteristic neutrosophic hesitant fuzzy UP (BCC)-subalgebras, UP (BCC)-ideals, and strong UP (BCC)-ideals have also been studied. The relationshipbetween neutrosophic hesitant fuzzy UP (BCC)-subalgebras, UP (BCC)-ideals, and strong UP (BCC)-ideals and their level subsets is provided. The Cartesian product of neutrosophic hesitant fuzzy UP (BCC)-subalgebras, UP (BCC)-ideals, and strong UP (BCC)-ideals is also supplied. Finally, we also find the property of the homomorphic pre-image of neutrosophic hesitant fuzzy UP (BCC)-subalgebras, UP (BCC)-ideals, and strong UP (BCC)-ideals.

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Aiyared Iampan mail -

S. Yamunadevi mail -

P. Maragatha Meenakshi mail -

N. Rajesh mail

link https://doi.org/10.54216/IJNS.200406

Volume & Issue

Vol. Volume 20 / Iss. Issue 4

Details open_in_new

International Journal of Neutrosophic Science | 2023

δ-open sets in Neutrosophic Hypersoft Topological Spaces

In this paper, neutrosphic hypersoft δ-open sets are introduced by defining the neutrosophic hypersoft regular open sets, pre-open sets, δ-interior and δ-closure. Under the guidance of these definitions, neutrosophic hyper- soft δ semi-open sets and δ pre-open sets are also introduced. Further, we have deduced inuitionistic hypersoft topology and fuzzy hypersoft topology from the neutrosophic hypersoft topology. Moreover, we discuss about the relations between neutrosphic hypersoft δ-open sets, δ semi-open sets, δ pre-open sets, semi-open sets and pre-open sets and their properties with examples.

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P. Surendra mail -

K. Chitirakala mail -

A. Vadivel mail

link https://doi.org/10.54216/IJNS.200407

Volume & Issue

Vol. Volume 20 / Iss. Issue 4

Details open_in_new

American Journal of Business and Operations Research | 2023

Intelligent Decision Support System for Optimizing Inventory Management

Inventory management (InvM) is a critical aspect of supply chain management (SCM) and optimizing inventory levels can lead to significant cost savings and improved customer satisfaction. Hence, business organizations have recently worked to increase the value of their operations by utilizing modern and digital technologies as industry 4.0 (Ind 4.0). In the era of Ind 4.0, the technologies as Internet of Every Things (IoET), AI, BDA…etc. Recognizing the significance of InvM in a supply chain (SC), motivated us to volunteer technologies of Ind 4.0 as machine learning (ML) techniques to boosting Decision Making (DM) process to optimize InvM. Subsequently, this study is constructed for providing an intelligent Decision Support ML framework for automating the process of optimizing inventory management. Our constructed framework ensembles powerful ML prediction algorithms for inventory management, such as Artificial Neural Networks (ANNs), Random Forest (RF), and Support Vector Machine (SVM) for building robust sales regressors.  The extensive experimentations on a case study of Walmart suggested that the proposed system has the potential to transform inventory management and improve supply chain performance, but further research is needed to address the challenges of data availability and quality.

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Mona Mohamed mail -

Nissreen El Saber mail

link https://doi.org/10.54216/AJBOR.090205

Volume & Issue

Vol. Volume 9 / Iss. Issue 2

Details open_in_new

Neutrosophic and Information Fusion | 2023

Evaluation and Selection of Cloud Service: A neutrosophic model

The variety of cloud-based services that are now accessible is expanding at a fast pace, and as a result, it has become much more difficult for regular customers to choose the appropriate cloud services. When selecting an appropriate service to use in a setting where there is a high degree of unpredictability, it is in the user's best interest to be able to deal with ambiguous information. This is because the Cloud service environment contains a great number of unknowns, which may prevent the user from making wise choices. In this paper, the authors propose a framework that they call the Optimal Service Choice and Priority of Cloud Computing (CC) Service. This methodology gives cloud customers the ability to evaluate the various service options available to them relying on QoS (Quality of Requirements) standards. The model employs a mixed approach to decision making that is based on many factors. The PROMETHEE is used for the purpose of ranking and prioritizing the QoS criteria, and to get the final rank of cloud services. The suggested methodology is a Multi-criteria decision making approach due to this problem contain many conflicting criteria. The PROMETHEE is integrated with neutrosophic environment to overcome uncertainty information. The application of methodology is provided.

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Abdullah Ali Salamai mail

link https://doi.org/10.54216/NIF.010202

Volume & Issue

Vol. Volume 1 / Iss. Issue 2

Details open_in_new

Neutrosophic and Information Fusion | 2023