Trisectional fuzzy trapezoidal approach to optimize interval data based transportation problem

This research article puts forward a combination of two new thoughts to solve interval data based transportation problems (IBTPs). Firstly IBTP is converted to fuzzy transportation problem using trisectional approach and secondly a newly proposed ranking technique based on in-centre concept is appli...

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Main Authors: Dinesh C.S. Bisht, Pankaj Kumar Srivastava
Format: Article
Language:English
Published: Elsevier 2020-01-01
Series:Journal of King Saud University: Science
Online Access:http://www.sciencedirect.com/science/article/pii/S101836471830199X
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author Dinesh C.S. Bisht
Pankaj Kumar Srivastava
author_facet Dinesh C.S. Bisht
Pankaj Kumar Srivastava
author_sort Dinesh C.S. Bisht
collection DOAJ
description This research article puts forward a combination of two new thoughts to solve interval data based transportation problems (IBTPs). Firstly IBTP is converted to fuzzy transportation problem using trisectional approach and secondly a newly proposed ranking technique based on in-centre concept is applied for conversion to crisp number. It is supported with numerical illustrations to test the relevance of the scheme. Comparison with other existing methods confirms its significance for transportation problems having interval data. Keywords: Fuzzy transportation problem, Trisectional trapezoidal approach, Interval based data, Optimal solution
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spelling doaj.art-9c9e41d0707f4c5ea277990305bff54f2022-12-22T01:09:00ZengElsevierJournal of King Saud University: Science1018-36472020-01-01321195199Trisectional fuzzy trapezoidal approach to optimize interval data based transportation problemDinesh C.S. Bisht0Pankaj Kumar Srivastava1Department of Mathematics, Jaypee Institute of Information Technology, Noida 201304, IndiaCorresponding author.; Department of Mathematics, Jaypee Institute of Information Technology, Noida 201304, IndiaThis research article puts forward a combination of two new thoughts to solve interval data based transportation problems (IBTPs). Firstly IBTP is converted to fuzzy transportation problem using trisectional approach and secondly a newly proposed ranking technique based on in-centre concept is applied for conversion to crisp number. It is supported with numerical illustrations to test the relevance of the scheme. Comparison with other existing methods confirms its significance for transportation problems having interval data. Keywords: Fuzzy transportation problem, Trisectional trapezoidal approach, Interval based data, Optimal solutionhttp://www.sciencedirect.com/science/article/pii/S101836471830199X
spellingShingle Dinesh C.S. Bisht
Pankaj Kumar Srivastava
Trisectional fuzzy trapezoidal approach to optimize interval data based transportation problem
Journal of King Saud University: Science
title Trisectional fuzzy trapezoidal approach to optimize interval data based transportation problem
title_full Trisectional fuzzy trapezoidal approach to optimize interval data based transportation problem
title_fullStr Trisectional fuzzy trapezoidal approach to optimize interval data based transportation problem
title_full_unstemmed Trisectional fuzzy trapezoidal approach to optimize interval data based transportation problem
title_short Trisectional fuzzy trapezoidal approach to optimize interval data based transportation problem
title_sort trisectional fuzzy trapezoidal approach to optimize interval data based transportation problem
url http://www.sciencedirect.com/science/article/pii/S101836471830199X
work_keys_str_mv AT dineshcsbisht trisectionalfuzzytrapezoidalapproachtooptimizeintervaldatabasedtransportationproblem
AT pankajkumarsrivastava trisectionalfuzzytrapezoidalapproachtooptimizeintervaldatabasedtransportationproblem