New types of hesitant fuzzy soft ideals in BCK-algebras
Abstract Molodtsov (Comput Math Appl 37:19–31, 1999) introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. As a link between classical soft sets and hesitant fuzzy sets, the...
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Gespeichert in:
| Autor*in: |
Alshehri, H. A. [verfasserIn] Abujabal, H. A. [verfasserIn] Alshehri, N. O. [verfasserIn] |
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E-Artikel |
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Englisch |
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2018 |
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Hesitant fuzzy (implicative–positive implicative and commutative) ideals in Hesitant fuzzy soft (implicative–positive implicative and commutative) ideals in |
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Enthalten in: Soft Computing - Springer-Verlag, 2003, 22(2018), 11 vom: 10. Jan., Seite 3675-3683 |
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volume:22 ; year:2018 ; number:11 ; day:10 ; month:01 ; pages:3675-3683 |
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10.1007/s00500-018-3009-0 |
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| 520 | |a Abstract Molodtsov (Comput Math Appl 37:19–31, 1999) introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced by Babitha and John (J New Results Sci 3:98–107, 2013). The aim of this paper is to apply notion of hesitant fuzzy soft set for dealing with several kinds of theories in BCK-algebras. The notions of hesitant fuzzy soft implicative ideal, hesitant fuzzy soft positive implicative ideal and hesitant fuzzy soft commutative ideal in BCK-algebras are introduced and related properties are investigated. Relations between a hesitant fuzzy soft subalgebra (ideal) and hesitant fuzzy soft (implicative, positive implicative and commutative) ideals are discussed. Conditions for a hesitant fuzzy soft ideal to be a hesitant fuzzy soft implicative ideal (positive implicative and commutative) are given and provided. Application of hesitant fuzzy soft sets in decision making is investigated. | ||
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10.1007/s00500-018-3009-0 doi (DE-627)SPR006497276 (SPR)s00500-018-3009-0-e DE-627 ger DE-627 rakwb eng Alshehri, H. A. verfasserin aut New types of hesitant fuzzy soft ideals in BCK-algebras 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Molodtsov (Comput Math Appl 37:19–31, 1999) introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced by Babitha and John (J New Results Sci 3:98–107, 2013). The aim of this paper is to apply notion of hesitant fuzzy soft set for dealing with several kinds of theories in BCK-algebras. The notions of hesitant fuzzy soft implicative ideal, hesitant fuzzy soft positive implicative ideal and hesitant fuzzy soft commutative ideal in BCK-algebras are introduced and related properties are investigated. Relations between a hesitant fuzzy soft subalgebra (ideal) and hesitant fuzzy soft (implicative, positive implicative and commutative) ideals are discussed. Conditions for a hesitant fuzzy soft ideal to be a hesitant fuzzy soft implicative ideal (positive implicative and commutative) are given and provided. Application of hesitant fuzzy soft sets in decision making is investigated. Hesitant fuzzy (implicative–positive implicative and commutative) ideals in (dpeaa)DE-He213 -algebras (dpeaa)DE-He213 Hesitant fuzzy soft (implicative–positive implicative and commutative) ideals in (dpeaa)DE-He213 -algebras (dpeaa)DE-He213 Abujabal, H. A. verfasserin aut Alshehri, N. O. verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 22(2018), 11 vom: 10. Jan., Seite 3675-3683 (DE-627)SPR006469531 nnns volume:22 year:2018 number:11 day:10 month:01 pages:3675-3683 https://dx.doi.org/10.1007/s00500-018-3009-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 22 2018 11 10 01 3675-3683 |
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10.1007/s00500-018-3009-0 doi (DE-627)SPR006497276 (SPR)s00500-018-3009-0-e DE-627 ger DE-627 rakwb eng Alshehri, H. A. verfasserin aut New types of hesitant fuzzy soft ideals in BCK-algebras 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Molodtsov (Comput Math Appl 37:19–31, 1999) introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced by Babitha and John (J New Results Sci 3:98–107, 2013). The aim of this paper is to apply notion of hesitant fuzzy soft set for dealing with several kinds of theories in BCK-algebras. The notions of hesitant fuzzy soft implicative ideal, hesitant fuzzy soft positive implicative ideal and hesitant fuzzy soft commutative ideal in BCK-algebras are introduced and related properties are investigated. Relations between a hesitant fuzzy soft subalgebra (ideal) and hesitant fuzzy soft (implicative, positive implicative and commutative) ideals are discussed. Conditions for a hesitant fuzzy soft ideal to be a hesitant fuzzy soft implicative ideal (positive implicative and commutative) are given and provided. Application of hesitant fuzzy soft sets in decision making is investigated. Hesitant fuzzy (implicative–positive implicative and commutative) ideals in (dpeaa)DE-He213 -algebras (dpeaa)DE-He213 Hesitant fuzzy soft (implicative–positive implicative and commutative) ideals in (dpeaa)DE-He213 -algebras (dpeaa)DE-He213 Abujabal, H. A. verfasserin aut Alshehri, N. O. verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 22(2018), 11 vom: 10. Jan., Seite 3675-3683 (DE-627)SPR006469531 nnns volume:22 year:2018 number:11 day:10 month:01 pages:3675-3683 https://dx.doi.org/10.1007/s00500-018-3009-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 22 2018 11 10 01 3675-3683 |
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10.1007/s00500-018-3009-0 doi (DE-627)SPR006497276 (SPR)s00500-018-3009-0-e DE-627 ger DE-627 rakwb eng Alshehri, H. A. verfasserin aut New types of hesitant fuzzy soft ideals in BCK-algebras 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Molodtsov (Comput Math Appl 37:19–31, 1999) introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced by Babitha and John (J New Results Sci 3:98–107, 2013). The aim of this paper is to apply notion of hesitant fuzzy soft set for dealing with several kinds of theories in BCK-algebras. The notions of hesitant fuzzy soft implicative ideal, hesitant fuzzy soft positive implicative ideal and hesitant fuzzy soft commutative ideal in BCK-algebras are introduced and related properties are investigated. Relations between a hesitant fuzzy soft subalgebra (ideal) and hesitant fuzzy soft (implicative, positive implicative and commutative) ideals are discussed. Conditions for a hesitant fuzzy soft ideal to be a hesitant fuzzy soft implicative ideal (positive implicative and commutative) are given and provided. Application of hesitant fuzzy soft sets in decision making is investigated. Hesitant fuzzy (implicative–positive implicative and commutative) ideals in (dpeaa)DE-He213 -algebras (dpeaa)DE-He213 Hesitant fuzzy soft (implicative–positive implicative and commutative) ideals in (dpeaa)DE-He213 -algebras (dpeaa)DE-He213 Abujabal, H. A. verfasserin aut Alshehri, N. O. verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 22(2018), 11 vom: 10. Jan., Seite 3675-3683 (DE-627)SPR006469531 nnns volume:22 year:2018 number:11 day:10 month:01 pages:3675-3683 https://dx.doi.org/10.1007/s00500-018-3009-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 22 2018 11 10 01 3675-3683 |
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10.1007/s00500-018-3009-0 doi (DE-627)SPR006497276 (SPR)s00500-018-3009-0-e DE-627 ger DE-627 rakwb eng Alshehri, H. A. verfasserin aut New types of hesitant fuzzy soft ideals in BCK-algebras 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Molodtsov (Comput Math Appl 37:19–31, 1999) introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced by Babitha and John (J New Results Sci 3:98–107, 2013). The aim of this paper is to apply notion of hesitant fuzzy soft set for dealing with several kinds of theories in BCK-algebras. The notions of hesitant fuzzy soft implicative ideal, hesitant fuzzy soft positive implicative ideal and hesitant fuzzy soft commutative ideal in BCK-algebras are introduced and related properties are investigated. Relations between a hesitant fuzzy soft subalgebra (ideal) and hesitant fuzzy soft (implicative, positive implicative and commutative) ideals are discussed. Conditions for a hesitant fuzzy soft ideal to be a hesitant fuzzy soft implicative ideal (positive implicative and commutative) are given and provided. Application of hesitant fuzzy soft sets in decision making is investigated. Hesitant fuzzy (implicative–positive implicative and commutative) ideals in (dpeaa)DE-He213 -algebras (dpeaa)DE-He213 Hesitant fuzzy soft (implicative–positive implicative and commutative) ideals in (dpeaa)DE-He213 -algebras (dpeaa)DE-He213 Abujabal, H. A. verfasserin aut Alshehri, N. O. verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 22(2018), 11 vom: 10. Jan., Seite 3675-3683 (DE-627)SPR006469531 nnns volume:22 year:2018 number:11 day:10 month:01 pages:3675-3683 https://dx.doi.org/10.1007/s00500-018-3009-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 22 2018 11 10 01 3675-3683 |
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10.1007/s00500-018-3009-0 doi (DE-627)SPR006497276 (SPR)s00500-018-3009-0-e DE-627 ger DE-627 rakwb eng Alshehri, H. A. verfasserin aut New types of hesitant fuzzy soft ideals in BCK-algebras 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Molodtsov (Comput Math Appl 37:19–31, 1999) introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced by Babitha and John (J New Results Sci 3:98–107, 2013). The aim of this paper is to apply notion of hesitant fuzzy soft set for dealing with several kinds of theories in BCK-algebras. The notions of hesitant fuzzy soft implicative ideal, hesitant fuzzy soft positive implicative ideal and hesitant fuzzy soft commutative ideal in BCK-algebras are introduced and related properties are investigated. Relations between a hesitant fuzzy soft subalgebra (ideal) and hesitant fuzzy soft (implicative, positive implicative and commutative) ideals are discussed. Conditions for a hesitant fuzzy soft ideal to be a hesitant fuzzy soft implicative ideal (positive implicative and commutative) are given and provided. Application of hesitant fuzzy soft sets in decision making is investigated. Hesitant fuzzy (implicative–positive implicative and commutative) ideals in (dpeaa)DE-He213 -algebras (dpeaa)DE-He213 Hesitant fuzzy soft (implicative–positive implicative and commutative) ideals in (dpeaa)DE-He213 -algebras (dpeaa)DE-He213 Abujabal, H. A. verfasserin aut Alshehri, N. O. verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 22(2018), 11 vom: 10. Jan., Seite 3675-3683 (DE-627)SPR006469531 nnns volume:22 year:2018 number:11 day:10 month:01 pages:3675-3683 https://dx.doi.org/10.1007/s00500-018-3009-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 22 2018 11 10 01 3675-3683 |
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Abstract Molodtsov (Comput Math Appl 37:19–31, 1999) introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced by Babitha and John (J New Results Sci 3:98–107, 2013). The aim of this paper is to apply notion of hesitant fuzzy soft set for dealing with several kinds of theories in BCK-algebras. The notions of hesitant fuzzy soft implicative ideal, hesitant fuzzy soft positive implicative ideal and hesitant fuzzy soft commutative ideal in BCK-algebras are introduced and related properties are investigated. Relations between a hesitant fuzzy soft subalgebra (ideal) and hesitant fuzzy soft (implicative, positive implicative and commutative) ideals are discussed. Conditions for a hesitant fuzzy soft ideal to be a hesitant fuzzy soft implicative ideal (positive implicative and commutative) are given and provided. Application of hesitant fuzzy soft sets in decision making is investigated. |
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Abstract Molodtsov (Comput Math Appl 37:19–31, 1999) introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced by Babitha and John (J New Results Sci 3:98–107, 2013). The aim of this paper is to apply notion of hesitant fuzzy soft set for dealing with several kinds of theories in BCK-algebras. The notions of hesitant fuzzy soft implicative ideal, hesitant fuzzy soft positive implicative ideal and hesitant fuzzy soft commutative ideal in BCK-algebras are introduced and related properties are investigated. Relations between a hesitant fuzzy soft subalgebra (ideal) and hesitant fuzzy soft (implicative, positive implicative and commutative) ideals are discussed. Conditions for a hesitant fuzzy soft ideal to be a hesitant fuzzy soft implicative ideal (positive implicative and commutative) are given and provided. Application of hesitant fuzzy soft sets in decision making is investigated. |
| abstract_unstemmed |
Abstract Molodtsov (Comput Math Appl 37:19–31, 1999) introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced by Babitha and John (J New Results Sci 3:98–107, 2013). The aim of this paper is to apply notion of hesitant fuzzy soft set for dealing with several kinds of theories in BCK-algebras. The notions of hesitant fuzzy soft implicative ideal, hesitant fuzzy soft positive implicative ideal and hesitant fuzzy soft commutative ideal in BCK-algebras are introduced and related properties are investigated. Relations between a hesitant fuzzy soft subalgebra (ideal) and hesitant fuzzy soft (implicative, positive implicative and commutative) ideals are discussed. Conditions for a hesitant fuzzy soft ideal to be a hesitant fuzzy soft implicative ideal (positive implicative and commutative) are given and provided. Application of hesitant fuzzy soft sets in decision making is investigated. |
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New types of hesitant fuzzy soft ideals in BCK-algebras |
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Abujabal, H. A. Alshehri, N. O. |
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