Application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems

Abstract To the best of our knowledge till now there is no method in the literature to find the exact fuzzy optimal solution of unbalanced fully fuzzy transportation problems. In this paper, the shortcomings and limitations of some of the existing methods for solving the problems are pointed out and...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Kumar, Amit [verfasserIn] Kaur, Amarpreet [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2011

Schlagwörter:	Fuzzy transportation problem Ranking function flat fuzzy number

Übergeordnetes Werk:	Enthalten in: Fuzzy information and engineering - Amsterdam [u.a.] : Elsevier, 2009, 3(2011), 1 vom: März, Seite 81-99
Übergeordnetes Werk:	volume:3 ; year:2011 ; number:1 ; month:03 ; pages:81-99

Links:	Volltext

DOI / URN:	10.1007/s12543-011-0068-7

Katalog-ID:	SPR026120186

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520			\|a Abstract To the best of our knowledge till now there is no method in the literature to find the exact fuzzy optimal solution of unbalanced fully fuzzy transportation problems. In this paper, the shortcomings and limitations of some of the existing methods for solving the problems are pointed out and to overcome these shortcomings and limitations, two new methods are proposed to find the exact fuzzy optimal solution of unbalanced fuzzy transportation problems by representing all the parameters as LR flat fuzzy numbers. To show the advantages of the proposed methods over existing methods, a fully fuzzy transportation problem which may not be solved by using any of the existing methods, is solved by using the proposed methods and by comparing the results, obtained by using the existing methods and proposed methods. It is shown that it is better to use proposed methods as compared to existing methods.
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allfields	10.1007/s12543-011-0068-7 doi (DE-627)SPR026120186 (SPR)s12543-011-0068-7-e DE-627 ger DE-627 rakwb eng 004 ASE Kumar, Amit verfasserin aut Application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract To the best of our knowledge till now there is no method in the literature to find the exact fuzzy optimal solution of unbalanced fully fuzzy transportation problems. In this paper, the shortcomings and limitations of some of the existing methods for solving the problems are pointed out and to overcome these shortcomings and limitations, two new methods are proposed to find the exact fuzzy optimal solution of unbalanced fuzzy transportation problems by representing all the parameters as LR flat fuzzy numbers. To show the advantages of the proposed methods over existing methods, a fully fuzzy transportation problem which may not be solved by using any of the existing methods, is solved by using the proposed methods and by comparing the results, obtained by using the existing methods and proposed methods. It is shown that it is better to use proposed methods as compared to existing methods. Fuzzy transportation problem (dpeaa)DE-He213 Ranking function (dpeaa)DE-He213 flat fuzzy number (dpeaa)DE-He213 Kaur, Amarpreet verfasserin aut Enthalten in Fuzzy information and engineering Amsterdam [u.a.] : Elsevier, 2009 3(2011), 1 vom: März, Seite 81-99 (DE-627)594779545 (DE-600)2486583-7 1616-8666 nnns volume:3 year:2011 number:1 month:03 pages:81-99 https://dx.doi.org/10.1007/s12543-011-0068-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 3 2011 1 03 81-99
spelling	10.1007/s12543-011-0068-7 doi (DE-627)SPR026120186 (SPR)s12543-011-0068-7-e DE-627 ger DE-627 rakwb eng 004 ASE Kumar, Amit verfasserin aut Application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract To the best of our knowledge till now there is no method in the literature to find the exact fuzzy optimal solution of unbalanced fully fuzzy transportation problems. In this paper, the shortcomings and limitations of some of the existing methods for solving the problems are pointed out and to overcome these shortcomings and limitations, two new methods are proposed to find the exact fuzzy optimal solution of unbalanced fuzzy transportation problems by representing all the parameters as LR flat fuzzy numbers. To show the advantages of the proposed methods over existing methods, a fully fuzzy transportation problem which may not be solved by using any of the existing methods, is solved by using the proposed methods and by comparing the results, obtained by using the existing methods and proposed methods. It is shown that it is better to use proposed methods as compared to existing methods. Fuzzy transportation problem (dpeaa)DE-He213 Ranking function (dpeaa)DE-He213 flat fuzzy number (dpeaa)DE-He213 Kaur, Amarpreet verfasserin aut Enthalten in Fuzzy information and engineering Amsterdam [u.a.] : Elsevier, 2009 3(2011), 1 vom: März, Seite 81-99 (DE-627)594779545 (DE-600)2486583-7 1616-8666 nnns volume:3 year:2011 number:1 month:03 pages:81-99 https://dx.doi.org/10.1007/s12543-011-0068-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 3 2011 1 03 81-99
allfields_unstemmed	10.1007/s12543-011-0068-7 doi (DE-627)SPR026120186 (SPR)s12543-011-0068-7-e DE-627 ger DE-627 rakwb eng 004 ASE Kumar, Amit verfasserin aut Application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract To the best of our knowledge till now there is no method in the literature to find the exact fuzzy optimal solution of unbalanced fully fuzzy transportation problems. In this paper, the shortcomings and limitations of some of the existing methods for solving the problems are pointed out and to overcome these shortcomings and limitations, two new methods are proposed to find the exact fuzzy optimal solution of unbalanced fuzzy transportation problems by representing all the parameters as LR flat fuzzy numbers. To show the advantages of the proposed methods over existing methods, a fully fuzzy transportation problem which may not be solved by using any of the existing methods, is solved by using the proposed methods and by comparing the results, obtained by using the existing methods and proposed methods. It is shown that it is better to use proposed methods as compared to existing methods. Fuzzy transportation problem (dpeaa)DE-He213 Ranking function (dpeaa)DE-He213 flat fuzzy number (dpeaa)DE-He213 Kaur, Amarpreet verfasserin aut Enthalten in Fuzzy information and engineering Amsterdam [u.a.] : Elsevier, 2009 3(2011), 1 vom: März, Seite 81-99 (DE-627)594779545 (DE-600)2486583-7 1616-8666 nnns volume:3 year:2011 number:1 month:03 pages:81-99 https://dx.doi.org/10.1007/s12543-011-0068-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 3 2011 1 03 81-99
allfieldsGer	10.1007/s12543-011-0068-7 doi (DE-627)SPR026120186 (SPR)s12543-011-0068-7-e DE-627 ger DE-627 rakwb eng 004 ASE Kumar, Amit verfasserin aut Application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract To the best of our knowledge till now there is no method in the literature to find the exact fuzzy optimal solution of unbalanced fully fuzzy transportation problems. In this paper, the shortcomings and limitations of some of the existing methods for solving the problems are pointed out and to overcome these shortcomings and limitations, two new methods are proposed to find the exact fuzzy optimal solution of unbalanced fuzzy transportation problems by representing all the parameters as LR flat fuzzy numbers. To show the advantages of the proposed methods over existing methods, a fully fuzzy transportation problem which may not be solved by using any of the existing methods, is solved by using the proposed methods and by comparing the results, obtained by using the existing methods and proposed methods. It is shown that it is better to use proposed methods as compared to existing methods. Fuzzy transportation problem (dpeaa)DE-He213 Ranking function (dpeaa)DE-He213 flat fuzzy number (dpeaa)DE-He213 Kaur, Amarpreet verfasserin aut Enthalten in Fuzzy information and engineering Amsterdam [u.a.] : Elsevier, 2009 3(2011), 1 vom: März, Seite 81-99 (DE-627)594779545 (DE-600)2486583-7 1616-8666 nnns volume:3 year:2011 number:1 month:03 pages:81-99 https://dx.doi.org/10.1007/s12543-011-0068-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 3 2011 1 03 81-99
allfieldsSound	10.1007/s12543-011-0068-7 doi (DE-627)SPR026120186 (SPR)s12543-011-0068-7-e DE-627 ger DE-627 rakwb eng 004 ASE Kumar, Amit verfasserin aut Application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract To the best of our knowledge till now there is no method in the literature to find the exact fuzzy optimal solution of unbalanced fully fuzzy transportation problems. In this paper, the shortcomings and limitations of some of the existing methods for solving the problems are pointed out and to overcome these shortcomings and limitations, two new methods are proposed to find the exact fuzzy optimal solution of unbalanced fuzzy transportation problems by representing all the parameters as LR flat fuzzy numbers. To show the advantages of the proposed methods over existing methods, a fully fuzzy transportation problem which may not be solved by using any of the existing methods, is solved by using the proposed methods and by comparing the results, obtained by using the existing methods and proposed methods. It is shown that it is better to use proposed methods as compared to existing methods. Fuzzy transportation problem (dpeaa)DE-He213 Ranking function (dpeaa)DE-He213 flat fuzzy number (dpeaa)DE-He213 Kaur, Amarpreet verfasserin aut Enthalten in Fuzzy information and engineering Amsterdam [u.a.] : Elsevier, 2009 3(2011), 1 vom: März, Seite 81-99 (DE-627)594779545 (DE-600)2486583-7 1616-8666 nnns volume:3 year:2011 number:1 month:03 pages:81-99 https://dx.doi.org/10.1007/s12543-011-0068-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2005 GBV_ILN_2014 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 3 2011 1 03 81-99
language	English
source	Enthalten in Fuzzy information and engineering 3(2011), 1 vom: März, Seite 81-99 volume:3 year:2011 number:1 month:03 pages:81-99
sourceStr	Enthalten in Fuzzy information and engineering 3(2011), 1 vom: März, Seite 81-99 volume:3 year:2011 number:1 month:03 pages:81-99
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Fuzzy transportation problem Ranking function flat fuzzy number
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author	Kumar, Amit
spellingShingle	Kumar, Amit ddc 004 misc Fuzzy transportation problem misc Ranking function misc flat fuzzy number Application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems
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topic_title	004 ASE Application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems Fuzzy transportation problem (dpeaa)DE-He213 Ranking function (dpeaa)DE-He213 flat fuzzy number (dpeaa)DE-He213
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title	Application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems
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title_full	Application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems
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title_sort	application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems
title_auth	Application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems
abstract	Abstract To the best of our knowledge till now there is no method in the literature to find the exact fuzzy optimal solution of unbalanced fully fuzzy transportation problems. In this paper, the shortcomings and limitations of some of the existing methods for solving the problems are pointed out and to overcome these shortcomings and limitations, two new methods are proposed to find the exact fuzzy optimal solution of unbalanced fuzzy transportation problems by representing all the parameters as LR flat fuzzy numbers. To show the advantages of the proposed methods over existing methods, a fully fuzzy transportation problem which may not be solved by using any of the existing methods, is solved by using the proposed methods and by comparing the results, obtained by using the existing methods and proposed methods. It is shown that it is better to use proposed methods as compared to existing methods.
abstractGer	Abstract To the best of our knowledge till now there is no method in the literature to find the exact fuzzy optimal solution of unbalanced fully fuzzy transportation problems. In this paper, the shortcomings and limitations of some of the existing methods for solving the problems are pointed out and to overcome these shortcomings and limitations, two new methods are proposed to find the exact fuzzy optimal solution of unbalanced fuzzy transportation problems by representing all the parameters as LR flat fuzzy numbers. To show the advantages of the proposed methods over existing methods, a fully fuzzy transportation problem which may not be solved by using any of the existing methods, is solved by using the proposed methods and by comparing the results, obtained by using the existing methods and proposed methods. It is shown that it is better to use proposed methods as compared to existing methods.
abstract_unstemmed	Abstract To the best of our knowledge till now there is no method in the literature to find the exact fuzzy optimal solution of unbalanced fully fuzzy transportation problems. In this paper, the shortcomings and limitations of some of the existing methods for solving the problems are pointed out and to overcome these shortcomings and limitations, two new methods are proposed to find the exact fuzzy optimal solution of unbalanced fuzzy transportation problems by representing all the parameters as LR flat fuzzy numbers. To show the advantages of the proposed methods over existing methods, a fully fuzzy transportation problem which may not be solved by using any of the existing methods, is solved by using the proposed methods and by comparing the results, obtained by using the existing methods and proposed methods. It is shown that it is better to use proposed methods as compared to existing methods.
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title_short	Application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems
url	https://dx.doi.org/10.1007/s12543-011-0068-7
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Application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems

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