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Jun, Young Bae, Park, Chul Hwan. (1388). IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET THEORY. نشریه علمی دانشگاه سیستان و بلوچستان, 6(2), 31-45. doi: 10.22111/ijfs.2009.206
Young Bae Jun; Chul Hwan Park. "IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET THEORY". نشریه علمی دانشگاه سیستان و بلوچستان, 6, 2, 1388, 31-45. doi: 10.22111/ijfs.2009.206
Jun, Young Bae, Park, Chul Hwan. (1388). 'IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET THEORY', نشریه علمی دانشگاه سیستان و بلوچستان, 6(2), pp. 31-45. doi: 10.22111/ijfs.2009.206
Jun, Young Bae, Park, Chul Hwan. IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET THEORY. نشریه علمی دانشگاه سیستان و بلوچستان, 1388; 6(2): 31-45. doi: 10.22111/ijfs.2009.206

IDEALS OF PSEUDO MV-ALGEBRAS BASED ON VAGUE SET THEORY

Iranian Journal of Fuzzy Systems
مقاله 5، دوره 6، شماره 2، شهریور 2009، صفحه 31-45    اصل مقاله (188.78 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2009.206
نویسندگان
Young Bae Jun1؛ Chul Hwan Park* 2
1Department of Mathematics Education and (RINS), Gyeongsang National University, Chinju 660-701, Korea
2Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea
چکیده
The notion of vague ideals in pseudo MV-algebras is introduced,
and several properties are investigated. Conditions for a vague set to be a
vague ideal are provided. Conditions for a vague ideal to be implicative are
given. Characterizations of (implicative, prime) vague ideals are discussed.
The smallest vague ideal containing a given vague set is established. Prime
and implicative extension property for a vague ideal is discussed.
کلیدواژه‌ها
Pseudo MV-algebra؛ (implicative؛ prime) vague ideal
مراجع
[1] R. Biswas, Vague groups, Internat. J. Comput. Cognition, 4(2) (2006), 20-23.
[2] H. Bustince and P. Burillo, Vague sets are intuitionistic fuzzy sets, Fuzzy Sets and Systems,
79 (1996), 403-405.
[3] W. L. Gau and D. J. Buehrer, Vague sets, IEEE Transactions on Systems, Man and Cybernetics,
23 (1993), 610-614.
[4] G. Georgescu and A. Iorgulescu, Pseudo MV-algebras, Multi. Val. Logic, 6 (2001), 95-135.
[5] A. Lu and W. Ng, Vague sets or intuitionistic fuzzy set for handling vague data: which one
is better?, Lecture Notes in Computer Science, 3716 (2005), 401-466.
[6] A. Walendziak, On implicative ideals of pseudo MV-algebras, Sci. Math. Jpn. Online, e-2005
(2005), 363-369.
[7] L. A. Zadeh, Fuzzy sets, Inform. Control, 8 (1965), 338-353.

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