On sequences of fuzzy sets and fuzzy set-valued mappings

Abstract Based on level sets of fuzzy sets, we propose definitions of limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings. Then, their properties are derived. Limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings are fuzzifi...
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Autor*in:	Kon, Masamichi [verfasserIn] Kuwano, Hiroaki [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2013

Schlagwörter:	sequence of fuzzy sets fuzzy set-valued mapping fuzzy set-valued analysis

Übergeordnetes Werk:	Enthalten in: Fixed point theory and applications - Heidelberg : Springer, 2004, 2013(2013), 1 vom: 02. Dez.
Übergeordnetes Werk:	volume:2013 ; year:2013 ; number:1 ; day:02 ; month:12

Links:	Volltext

DOI / URN:	10.1186/1687-1812-2013-327

Katalog-ID:	SPR032128142

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spelling	10.1186/1687-1812-2013-327 doi (DE-627)SPR032128142 (SPR)1687-1812-2013-327-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Kon, Masamichi verfasserin aut On sequences of fuzzy sets and fuzzy set-valued mappings 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Based on level sets of fuzzy sets, we propose definitions of limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings. Then, their properties are derived. Limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings are fuzzified ones of them for crisp sets, where ‘crisp’ means ‘non-fuzzy’. MSC:03E72, 90C70. sequence of fuzzy sets (dpeaa)DE-He213 fuzzy set-valued mapping (dpeaa)DE-He213 fuzzy set-valued analysis (dpeaa)DE-He213 Kuwano, Hiroaki verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2013(2013), 1 vom: 02. Dez. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2013 year:2013 number:1 day:02 month:12 https://dx.doi.org/10.1186/1687-1812-2013-327 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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 31.46 ASE 31.65 ASE AR 2013 2013 1 02 12
allfields_unstemmed	10.1186/1687-1812-2013-327 doi (DE-627)SPR032128142 (SPR)1687-1812-2013-327-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Kon, Masamichi verfasserin aut On sequences of fuzzy sets and fuzzy set-valued mappings 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Based on level sets of fuzzy sets, we propose definitions of limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings. Then, their properties are derived. Limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings are fuzzified ones of them for crisp sets, where ‘crisp’ means ‘non-fuzzy’. MSC:03E72, 90C70. sequence of fuzzy sets (dpeaa)DE-He213 fuzzy set-valued mapping (dpeaa)DE-He213 fuzzy set-valued analysis (dpeaa)DE-He213 Kuwano, Hiroaki verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2013(2013), 1 vom: 02. Dez. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2013 year:2013 number:1 day:02 month:12 https://dx.doi.org/10.1186/1687-1812-2013-327 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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 31.46 ASE 31.65 ASE AR 2013 2013 1 02 12
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language	English
source	Enthalten in Fixed point theory and applications 2013(2013), 1 vom: 02. Dez. volume:2013 year:2013 number:1 day:02 month:12
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author	Kon, Masamichi
spellingShingle	Kon, Masamichi ddc 510 bkl 31.46 bkl 31.65 misc sequence of fuzzy sets misc fuzzy set-valued mapping misc fuzzy set-valued analysis On sequences of fuzzy sets and fuzzy set-valued mappings
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topic_title	510 ASE 31.46 bkl 31.65 bkl On sequences of fuzzy sets and fuzzy set-valued mappings sequence of fuzzy sets (dpeaa)DE-He213 fuzzy set-valued mapping (dpeaa)DE-He213 fuzzy set-valued analysis (dpeaa)DE-He213
topic	ddc 510 bkl 31.46 bkl 31.65 misc sequence of fuzzy sets misc fuzzy set-valued mapping misc fuzzy set-valued analysis
topic_unstemmed	ddc 510 bkl 31.46 bkl 31.65 misc sequence of fuzzy sets misc fuzzy set-valued mapping misc fuzzy set-valued analysis
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title	On sequences of fuzzy sets and fuzzy set-valued mappings
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title_full	On sequences of fuzzy sets and fuzzy set-valued mappings
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author_browse	Kon, Masamichi Kuwano, Hiroaki
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title_sort	on sequences of fuzzy sets and fuzzy set-valued mappings
title_auth	On sequences of fuzzy sets and fuzzy set-valued mappings
abstract	Abstract Based on level sets of fuzzy sets, we propose definitions of limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings. Then, their properties are derived. Limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings are fuzzified ones of them for crisp sets, where ‘crisp’ means ‘non-fuzzy’. MSC:03E72, 90C70.
abstractGer	Abstract Based on level sets of fuzzy sets, we propose definitions of limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings. Then, their properties are derived. Limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings are fuzzified ones of them for crisp sets, where ‘crisp’ means ‘non-fuzzy’. MSC:03E72, 90C70.
abstract_unstemmed	Abstract Based on level sets of fuzzy sets, we propose definitions of limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings. Then, their properties are derived. Limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings are fuzzified ones of them for crisp sets, where ‘crisp’ means ‘non-fuzzy’. MSC:03E72, 90C70.
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title_short	On sequences of fuzzy sets and fuzzy set-valued mappings
url	https://dx.doi.org/10.1186/1687-1812-2013-327
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up_date	2024-07-04T02:30:06.054Z
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