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Erschienen in: International Journal of Machine Learning and Cybernetics 4/2016

01.08.2016 | Original Article

On \(\left( \in ,\in \vee q \right) \)-intuitionistic fuzzy ideals of soft semigroups

verfasst von: Asghar Khan, Naveed Muhammad

Erschienen in: International Journal of Machine Learning and Cybernetics | Ausgabe 4/2016

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Abstract

The concepts of \(\in \)-soft set and q-soft set in semigroups are introduced and some related properties are investigated. In particular, we describe the relationships among intuitionistic fuzzy ideals (resp. bi-ideals) and idealistic (resp. bi-idealistic) soft semigroups. Moreover, we study the relationships among \((\in ,\in \vee \)q\()\)-intuitionistic fuzzy ideals (resp. bi-ideals), \((\overset{\_}{\in },\overset{\_}{\in }\vee \overset{\_}{q})\)-intuitionistic fuzzy ideals (resp. bi-ideals) of \(S.\)

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Literatur
2.
Zurück zum Zitat Akram M (2006) Intuitionistic fuzzy closed ideals in BCI-algebras. Int Math Forum 1(9):445–453MathSciNetMATH Akram M (2006) Intuitionistic fuzzy closed ideals in BCI-algebras. Int Math Forum 1(9):445–453MathSciNetMATH
4.
Zurück zum Zitat Atanassov K (1999) Intuitionistic fuzzy sets: theory and applications. Physica, HeidelbergCrossRefMATH Atanassov K (1999) Intuitionistic fuzzy sets: theory and applications. Physica, HeidelbergCrossRefMATH
10.
Zurück zum Zitat Biswas R (1989) Intuitionistic fuzzy subgroups. Math Forum 10:37–46 Biswas R (1989) Intuitionistic fuzzy subgroups. Math Forum 10:37–46
12.
Zurück zum Zitat Chen D, Tsang ECC, Yeung DS, Wang X (2005) The parameterization reduction of soft sets and its applications. Comput Math Appl 49:757–763MathSciNetCrossRefMATH Chen D, Tsang ECC, Yeung DS, Wang X (2005) The parameterization reduction of soft sets and its applications. Comput Math Appl 49:757–763MathSciNetCrossRefMATH
13.
Zurück zum Zitat Chen L (2010) Intuitionistic fuzzy ideals of sub-BCI-algebras. International conference on information electronic and computer science, Zibo, vol 1–3, pp 2124–2127 Chen L (2010) Intuitionistic fuzzy ideals of sub-BCI-algebras. International conference on information electronic and computer science, Zibo, vol 1–3, pp 2124–2127
14.
Zurück zum Zitat Davvaz B, Khan A (2011) Characterization of regular ordered semigroups in terms of \((\alpha,\beta )\)-fuzzy generalized bi-ideals. Inform Sci 181:1759–1770MathSciNetCrossRefMATH Davvaz B, Khan A (2011) Characterization of regular ordered semigroups in terms of \((\alpha,\beta )\)-fuzzy generalized bi-ideals. Inform Sci 181:1759–1770MathSciNetCrossRefMATH
16.
Zurück zum Zitat Gong Zengtai, Zhang Xiaoxia (2014) Variable precision intuitionistic fuzzy rough sets model and its application. Int J Mach Learn Cybern 5(2):263–280CrossRef Gong Zengtai, Zhang Xiaoxia (2014) Variable precision intuitionistic fuzzy rough sets model and its application. Int J Mach Learn Cybern 5(2):263–280CrossRef
17.
Zurück zum Zitat Hedayati H (2011) Connections between generalized fuzzy ideals and sub-implicative ideals of BCI-algebras. IAENG Int J Appl Math 41(1):17–22MathSciNetMATH Hedayati H (2011) Connections between generalized fuzzy ideals and sub-implicative ideals of BCI-algebras. IAENG Int J Appl Math 41(1):17–22MathSciNetMATH
18.
Zurück zum Zitat HowieJM (1995) Fundamentals of semigroup theory, London Mathematica Society Monographs. New Series, vol 12. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York HowieJM (1995) Fundamentals of semigroup theory, London Mathematica Society Monographs. New Series, vol 12. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York
19.
Zurück zum Zitat Jun YB, Khan A, Shabir M (2009) Ordered semigroups characterized by their \((\in,\in \vee \)q\()\)-fuzzy bi-ideals. Bull Malays Math Sci Soc (2) 32(3):391–408MathSciNetMATH Jun YB, Khan A, Shabir M (2009) Ordered semigroups characterized by their \((\in,\in \vee \)q\()\)-fuzzy bi-ideals. Bull Malays Math Sci Soc (2) 32(3):391–408MathSciNetMATH
20.
Zurück zum Zitat Jun YB, Park CH (2008) Applications of soft sets in ideal theory of BCK/BCI algebras. Inform Sci 178:2466–2475MathSciNetMATH Jun YB, Park CH (2008) Applications of soft sets in ideal theory of BCK/BCI algebras. Inform Sci 178:2466–2475MathSciNetMATH
24.
Zurück zum Zitat Khan A, Davvaz B, Sarmin NH, Khan H Redefined intuitionistic fuzzy bi-ideals of ordered semigroups (submitted) Khan A, Davvaz B, Sarmin NH, Khan H Redefined intuitionistic fuzzy bi-ideals of ordered semigroups (submitted)
26.
Zurück zum Zitat Ma X (2007) Intuitionistic fuzzy filters of BCI-algebras. J Hubei Inst Natl 25(1):39–41MATH Ma X (2007) Intuitionistic fuzzy filters of BCI-algebras. J Hubei Inst Natl 25(1):39–41MATH
27.
30.
33.
Zurück zum Zitat Nisar F, Tariq RS, Bhatti SA (2010) Bi-polar-valued fuzzy hyper subalgebras of a hyper bci-algebra. World Appl Sci J 9(1):25–33 Nisar F, Tariq RS, Bhatti SA (2010) Bi-polar-valued fuzzy hyper subalgebras of a hyper bci-algebra. World Appl Sci J 9(1):25–33
34.
Zurück zum Zitat Pu PM, Liu YM (1980) Fuzzy topology I: neighourhood structure of a fuzzy point and Moore Smith convergence. J Math Anal Appl 76:571–599MathSciNetCrossRefMATH Pu PM, Liu YM (1980) Fuzzy topology I: neighourhood structure of a fuzzy point and Moore Smith convergence. J Math Anal Appl 76:571–599MathSciNetCrossRefMATH
35.
Zurück zum Zitat Satyanarayana B, Prasad RD (2011) On foldness of intuitionistic fuzzy positive implicative ideals of BCK-algebras. Res J Pure Algebra 1(2):40–51 Satyanarayana B, Prasad RD (2011) On foldness of intuitionistic fuzzy positive implicative ideals of BCK-algebras. Res J Pure Algebra 1(2):40–51
36.
Zurück zum Zitat Yang Xiaoping, Yang Yu (2013) Independence of axiom sets on intuitionistic fuzzy rough approximation operators. Int J Mach Learn Cybern 4(5):505–513CrossRef Yang Xiaoping, Yang Yu (2013) Independence of axiom sets on intuitionistic fuzzy rough approximation operators. Int J Mach Learn Cybern 4(5):505–513CrossRef
37.
Zurück zum Zitat Liang Xia, Wei Cuiping, Chen Zhimin (2013) An intuitionistic fuzzy weighted OWA operator and its application. Int J Mach Learn Cybern 4(6):713–719CrossRef Liang Xia, Wei Cuiping, Chen Zhimin (2013) An intuitionistic fuzzy weighted OWA operator and its application. Int J Mach Learn Cybern 4(6):713–719CrossRef
38.
Zurück zum Zitat Xue Zhan’ao, Xiao Yunhua, Liu Weihua, Cheng Huiru, Li Yuejun (2013) Intuitionistic fuzzy filter theory of BL-algebras. International Journal of Machine Learning and Cybernetics 4(6):659–669CrossRef Xue Zhan’ao, Xiao Yunhua, Liu Weihua, Cheng Huiru, Li Yuejun (2013) Intuitionistic fuzzy filter theory of BL-algebras. International Journal of Machine Learning and Cybernetics 4(6):659–669CrossRef
39.
40.
Zurück zum Zitat Wang X, Wang Y, Ling W, Yeung D (2001) A new approach to fuzzy rule generation: fuzzy extension matrix. Fuzzy Sets Syst 123(3):291–306MathSciNetCrossRefMATH Wang X, Wang Y, Ling W, Yeung D (2001) A new approach to fuzzy rule generation: fuzzy extension matrix. Fuzzy Sets Syst 123(3):291–306MathSciNetCrossRefMATH
41.
Zurück zum Zitat Zhou J, Li Y, Yin Y (2011) Intuitionistic fuzzy soft semigroups. Mathematica Aeterna 1(03):173–183MathSciNetMATH Zhou J, Li Y, Yin Y (2011) Intuitionistic fuzzy soft semigroups. Mathematica Aeterna 1(03):173–183MathSciNetMATH
42.
Zurück zum Zitat Zou Li, Liu Xin, Pei Zheng, Huang Degen (2013) Implication operators on the set of irreducible element in the linguistic truth-valued intuitionistic fuzzy lattice. Int J Mach Learn Cybern 4(4):365–372CrossRef Zou Li, Liu Xin, Pei Zheng, Huang Degen (2013) Implication operators on the set of irreducible element in the linguistic truth-valued intuitionistic fuzzy lattice. Int J Mach Learn Cybern 4(4):365–372CrossRef
Metadaten
Titel
On -intuitionistic fuzzy ideals of soft semigroups
verfasst von
Asghar Khan
Naveed Muhammad
Publikationsdatum
01.08.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
International Journal of Machine Learning and Cybernetics / Ausgabe 4/2016
Print ISSN: 1868-8071
Elektronische ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-014-0263-z

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