An efficient method for solving neutrosophic Fredholm integral equations of second kind

Moi, Sandip; Biswas, Suvankar; Sarkar, Subhadeep

doi:10.1007/s41066-021-00310-1

Cited by 10 publications

(1 citation statement)

References 35 publications

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“…The motivation behind the work in this manuscript is to describe some operations on neutrosophic graph [13,32,14,39,16,40,17,21,30] and find an algorithm for minimum spanning tree problem which will be simple enough and effective in real world scenarios. Regular SVNG, complete SVNG, and strong SVNG are all defined in this study.…”

Section: Introductionmentioning

confidence: 99%

A study on Single Valued Neutrosophic Graph and its application

DEY¹,

Mohanta

Bhowmik

et al. 2023

Preprint

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To deal with the uncertainties and ambiguity of real-world problems, two promising approaches are a fuzzy set and a neutrosophic set.In order to deal with the uncertainties of a real-world scenario, a neutrosophic set is better equipped than a fuzzy set.This study presents a novel single-valued neutrosophic graph (SVNG) idea.Regular, full, and strong SVNG definitions have all been discussed. Along with providing relevant exam- ples, we have also presented many SVNG operations such as rejection, symmetric difference, maximal product, and residue product, as well as some of their key theorems. Then, we have proposed several theorems about the total degree and degree under these operations with some examples. Classical algorithms in graph theory such as Boruvka’s algorithm can only find the minimum spanning tree (MST) in industrial wireless sensor networks. We have described an application of neutrosophic graph in wireless network problem. The classical Boruvka’s algorithm is a well known greedy method for finding the MST of a connected graph.We have modified the classical Boruvka’s algorithm to solve MST problem in neutrosophic enviroment.

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Section: Introductionmentioning

confidence: 99%

A study on Single Valued Neutrosophic Graph and its application

DEY¹,

Mohanta

Bhowmik

et al. 2023

Preprint

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Successive approximation method to solve nonlinear fuzzy Fredholm integral equations using NC rules

Golshan,

Ezzati

2024

Soft Comput

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An integrated multi-attributive border approximation area comparison (MABAC) method for evaluating resilience and knowledge sharing of suppliers in pythagorean fuzzy environment

Jafari,

Naghdi Khanachah

2024

Artif Intell Rev

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This paper aims to determine the resilience scores of suppliers by considering the importance of knowledge sharing and incorporating a set of criteria that affect the supply chain’s resilience, along with knowledge sharing. In order to achieve this goal, we propose a new multi-criteria decision-making (MCDM) method named MULTIMABAC to evaluate suppliers’ resilience. This method is based on the multi-attributive border approximation area comparison (MABAC) method. The new method consists of criteria weighting, expert weighting, and supplier evaluation. In the criteria weighting section, we extend the BWM (Best–Worst method) using Pythagorean fuzzy sets (PFSs). The weight of experts is determined by incorporating the average concept into the MABAC method. The resilience score of suppliers is calculated using an extended MABAC method with ideal positive and negative solutions. All indices are aggregated using the ordinal priority approach (OPA) to obtain a unique ranking. Additionally, we extend the MULTIMABAC method using PFSs to address uncertainty in supply chain decision-making. Results and sensitivity analysis demonstrate that the proposed method effectively facilitates knowledge sharing in selecting resilient suppliers. Therefore, organizations can use the proposed method to evaluate and choose resilient suppliers. Moreover, the MULTIMABAC method demonstrates robustness to variations in the weights of its constituent parameters.

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An efficient method for solving neutrosophic Fredholm integral equations of second kind

Cited by 10 publications

References 35 publications

A study on Single Valued Neutrosophic Graph and its application

A study on Single Valued Neutrosophic Graph and its application

Successive approximation method to solve nonlinear fuzzy Fredholm integral equations using NC rules

An integrated multi-attributive border approximation area comparison (MABAC) method for evaluating resilience and knowledge sharing of suppliers in pythagorean fuzzy environment

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