Optimization of Fuzzy Species Pythagorean Transportation Problem under Preserved Uncertainties

The transportation of big species is essential to rescue or relocate them and it requires the optimized cost of transportation. The present study brings out an optimized way to handle a special class of transportation problem called the Pythagorean fuzzy species transportation problem. To deal effec...

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Autores principales:	Priyanka Nagar, Pankaj Kumar Srivastava, Amit Srivastava
Formato:	article
Lenguaje:	EN
Publicado:	International Journal of Mathematical, Engineering and Management Sciences 2021
Materias:	fuzzy species transportation problems pythagorean fuzzy numbers initial fuzzy basic feasible solution pythagorean fuzzy modified distribution method Technology T Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/c0e068ad4b64419b81b47f3367976575
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spelling	oai:doaj.org-article:c0e068ad4b64419b81b47f33679765752021-12-04T05:21:31ZOptimization of Fuzzy Species Pythagorean Transportation Problem under Preserved Uncertainties10.33889/IJMEMS.2021.6.6.0972455-7749https://doaj.org/article/c0e068ad4b64419b81b47f33679765752021-12-01T00:00:00Zhttps://ijmems.in/cms/storage/app/public/uploads/volumes/97-IJMEMS-21-0091-6-6-1629-1645-2021.pdfhttps://doaj.org/toc/2455-7749The transportation of big species is essential to rescue or relocate them and it requires the optimized cost of transportation. The present study brings out an optimized way to handle a special class of transportation problem called the Pythagorean fuzzy species transportation problem. To deal effectively with uncertain parameters, a new method for finding the initial fuzzy basic feasible solution (IFBFS) has been developed and applied. To test the optimality of the solutions obtained, a new approach named the Pythagorean fuzzy modified distribution method is developed. After reviewing the literature, it has been observed that till now the work done on Pythagorean fuzzy transportation problems is solely based on defuzzification techniques and so the optimal solutions obtained are in crisp form only. However, the proposed study is focused to get the optimal solution in its fuzzy form only. Getting results in the fuzzy form will lead to avoid any kind of loss of information during the defuzzification process. A comparative study with other defuzzification-based methods has been done to validate the proposed approach and it confirms the utility of the proposed methodology.Priyanka NagarPankaj Kumar SrivastavaAmit SrivastavaInternational Journal of Mathematical, Engineering and Management Sciencesarticlefuzzy species transportation problemspythagorean fuzzy numbersinitial fuzzy basic feasible solutionpythagorean fuzzy modified distribution methodTechnologyTMathematicsQA1-939ENInternational Journal of Mathematical, Engineering and Management Sciences, Vol 6, Iss 6, Pp 1629-1645 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fuzzy species transportation problems pythagorean fuzzy numbers initial fuzzy basic feasible solution pythagorean fuzzy modified distribution method Technology T Mathematics QA1-939
spellingShingle	fuzzy species transportation problems pythagorean fuzzy numbers initial fuzzy basic feasible solution pythagorean fuzzy modified distribution method Technology T Mathematics QA1-939 Priyanka Nagar Pankaj Kumar Srivastava Amit Srivastava Optimization of Fuzzy Species Pythagorean Transportation Problem under Preserved Uncertainties
description	The transportation of big species is essential to rescue or relocate them and it requires the optimized cost of transportation. The present study brings out an optimized way to handle a special class of transportation problem called the Pythagorean fuzzy species transportation problem. To deal effectively with uncertain parameters, a new method for finding the initial fuzzy basic feasible solution (IFBFS) has been developed and applied. To test the optimality of the solutions obtained, a new approach named the Pythagorean fuzzy modified distribution method is developed. After reviewing the literature, it has been observed that till now the work done on Pythagorean fuzzy transportation problems is solely based on defuzzification techniques and so the optimal solutions obtained are in crisp form only. However, the proposed study is focused to get the optimal solution in its fuzzy form only. Getting results in the fuzzy form will lead to avoid any kind of loss of information during the defuzzification process. A comparative study with other defuzzification-based methods has been done to validate the proposed approach and it confirms the utility of the proposed methodology.
format	article
author	Priyanka Nagar Pankaj Kumar Srivastava Amit Srivastava
author_facet	Priyanka Nagar Pankaj Kumar Srivastava Amit Srivastava
author_sort	Priyanka Nagar
title	Optimization of Fuzzy Species Pythagorean Transportation Problem under Preserved Uncertainties
title_short	Optimization of Fuzzy Species Pythagorean Transportation Problem under Preserved Uncertainties
title_full	Optimization of Fuzzy Species Pythagorean Transportation Problem under Preserved Uncertainties
title_fullStr	Optimization of Fuzzy Species Pythagorean Transportation Problem under Preserved Uncertainties
title_full_unstemmed	Optimization of Fuzzy Species Pythagorean Transportation Problem under Preserved Uncertainties
title_sort	optimization of fuzzy species pythagorean transportation problem under preserved uncertainties
publisher	International Journal of Mathematical, Engineering and Management Sciences
publishDate	2021
url	https://doaj.org/article/c0e068ad4b64419b81b47f3367976575
work_keys_str_mv	AT priyankanagar optimizationoffuzzyspeciespythagoreantransportationproblemunderpreserveduncertainties AT pankajkumarsrivastava optimizationoffuzzyspeciespythagoreantransportationproblemunderpreserveduncertainties AT amitsrivastava optimizationoffuzzyspeciespythagoreantransportationproblemunderpreserveduncertainties
_version_	1718372817921114112

Optimization of Fuzzy Species Pythagorean Transportation Problem under Preserved Uncertainties

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