메뉴 건너뛰기




Volumn 15, Issue 5-6, 2009, Pages 471-488

Approximations in hyperrings

Author keywords

Hyperideal; Hyperring; Lower approximation; Normal hyperideal; Prime hyperideal; Rough set; Upper approximation

Indexed keywords

HYPERIDEAL; HYPERRING; LOWER APPROXIMATION; ROUGH SET; UPPER APPROXIMATION;

EID: 73449128280     PISSN: 15423980     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (44)

References (47)
  • 4
    • 0039623338 scopus 로고
    • Algebraic structures of rough sets
    • W. P. Ziarko Ed, Springer-Verlag, Berlin
    • Bonikowaski Z. Algebraic structures of rough sets. In: W. P. Ziarko (Ed.), Rough Sets, Fuzzy Sets and Knowledge Discovery. Springer-Verlag, Berlin, 1995, 242-247.
    • (1995) Rough Sets, Fuzzy Sets and Knowledge Discovery , pp. 242-247
    • Bonikowaski, Z.1
  • 5
    • 0038856101 scopus 로고    scopus 로고
    • Generalized rough sets. Preclusivity fuzzy-intuitionistic (BZ) lattices
    • Cattaneo G. Generalized rough sets. Preclusivity fuzzy-intuitionistic (BZ) lattices. Studia Logica 58 (1997), 47-77.
    • (1997) Studia Logica , vol.58 , pp. 47-77
    • Cattaneo, G.1
  • 6
    • 73449109956 scopus 로고    scopus 로고
    • Comer S. On connections between information systems, rough sets and algebraic logic. In: C. Rauszer (Ed.), Banach Center Publications, Algebraic Methods in Logic and ComputerScience 28( 1993), 117-124.
    • Comer S. On connections between information systems, rough sets and algebraic logic. In: C. Rauszer (Ed.), Banach Center Publications, Algebraic Methods in Logic and ComputerScience 28( 1993), 117-124.
  • 8
    • 27744466546 scopus 로고    scopus 로고
    • Applications of hyperstructure theory
    • Kluwer Academic Publishers
    • Corsini P. and Leoreanu V. Applications of hyperstructure theory. Advances in Mathematics. Kluwer Academic Publishers, 2003.
    • (2003) Advances in Mathematics
    • Corsini, P.1    Leoreanu, V.2
  • 9
    • 33845734058 scopus 로고    scopus 로고
    • A Realization of hyperrings
    • Davvaz B. and Salasi A. A Realization of hyperrings. Communications in Algebra 34(12) (2006), 4389-4400.
    • (2006) Communications in Algebra , vol.34 , Issue.12 , pp. 4389-4400
    • Davvaz, B.1    Salasi, A.2
  • 10
    • 3042813950 scopus 로고    scopus 로고
    • Roughness in rings
    • Davvaz B. Roughness in rings. Inform. Sci. 164 (2004), 147-163.
    • (2004) Inform. Sci , vol.164 , pp. 147-163
    • Davvaz, B.1
  • 11
    • 33646912283 scopus 로고    scopus 로고
    • Roughness based on fuzzy ideals
    • Davvaz B. Roughness based on fuzzy ideals. Inform. Sci. 176 (2006), 2417-2437.
    • (2006) Inform. Sci , vol.176 , pp. 2417-2437
    • Davvaz, B.1
  • 12
    • 2442618277 scopus 로고    scopus 로고
    • Isomorphism theorems of hyperrings
    • DavvazB. Isomorphism theorems of hyperrings. Indian J. Pure Appl. Math. 35(3) (2004),321-331.
    • (2004) Indian J. Pure Appl. Math , vol.35 , Issue.3 , pp. 321-331
    • DavvazB1
  • 15
    • 0001905486 scopus 로고    scopus 로고
    • Knowledge acquisition under uncertainty-A rough set approach
    • Grzyma la-Busse J. W. Knowledge acquisition under uncertainty-A rough set approach. Journal ofIntelligent and Robotic Systems 1 (1) (1998), 3-16.
    • (1998) Journal ofIntelligent and Robotic Systems , vol.1 , Issue.1 , pp. 3-16
    • Grzyma la-Busse, J.W.1
  • 16
    • 0000343385 scopus 로고
    • Algebraic approach to rough sets
    • Iwinski T. Algebraic approach to rough sets. Bull. Polish Acad. Sci. Math. 35 (1987), 673-683.
    • (1987) Bull. Polish Acad. Sci. Math , vol.35 , pp. 673-683
    • Iwinski, T.1
  • 17
    • 0036874722 scopus 로고    scopus 로고
    • On the structure of rough approximations
    • Jarvinen J. On the structure of rough approximations. Fundamenta Informatica 53 (2002), 135-153.
    • (2002) Fundamenta Informatica , vol.53 , pp. 135-153
    • Jarvinen, J.1
  • 18
    • 0040858725 scopus 로고
    • Une generalization de la notion de corps-corpoide. Un corpoide remarcable de la theorie des corps values.
    • Krasner M. Une generalization de la notion de corps-corpoide. Un corpoide remarcable de la theorie des corps values. C. R. Acad. Sci. Paris 219 (1944), 345-347.
    • (1944) C. R. Acad. Sci. Paris , vol.219 , pp. 345-347
    • Krasner, M.1
  • 19
    • 78149412384 scopus 로고
    • Approximation des corps values complete de caracteristigue p ≠ 0 par ceux de caracteristique 0
    • Bruxelles
    • Krasner M. Approximation des corps values complete de caracteristigue p ≠ 0 par ceux de caracteristique 0, Colloque d'Algebra Superieure, CBRM, Bruxelles, 1956.
    • (1956) Colloque d'Algebra Superieure, CBRM
    • Krasner, M.1
  • 20
    • 84956445468 scopus 로고
    • A class of hyperrings and hyperfields
    • Krasner M. A class of hyperrings and hyperfields. Intern. J. Math. Math. Sci. 6 (1983), 307-312.
    • (1983) Intern. J. Math. Math. Sci , vol.6 , pp. 307-312
    • Krasner, M.1
  • 21
    • 0031206635 scopus 로고    scopus 로고
    • Rough ideals in semigroups
    • Kuroki N. Rough ideals in semigroups. Inform. Sci. 100 (1997), 139-163.
    • (1997) Inform. Sci , vol.100 , pp. 139-163
    • Kuroki, N.1
  • 22
    • 0003171144 scopus 로고
    • Relation algebras and projective property
    • Lyndon R. Relation algebras and projective property. Michigan Math. J. 8 (1961), 21-28.
    • (1961) Michigan Math. J , vol.8 , pp. 21-28
    • Lyndon, R.1
  • 23
    • 0002079443 scopus 로고
    • Sur une generalization de la notion de group
    • Stockholm
    • Marty F. Sur une generalization de la notion de group, 8th Congress Math. Scandenaves, Stockholm, 1934, 45-49.
    • (1934) 8th Congress Math. Scandenaves , pp. 45-49
    • Marty, F.1
  • 24
    • 34347405349 scopus 로고
    • On the theory of hyperrings and hyperfields
    • Massouros C. G. On the theory of hyperrings and hyperfields. Algebrai Logika 24 (1985), 728-742.
    • (1985) Algebrai Logika , vol.24 , pp. 728-742
    • Massouros, C.G.1
  • 25
    • 73449135238 scopus 로고
    • Constructions of hyperfields
    • Massouros C. G. Constructions of hyperfields. Math. Balkanica 5 (1991), 250-257.
    • (1991) Math. Balkanica , vol.5 , pp. 250-257
    • Massouros, C.G.1
  • 26
    • 0010965349 scopus 로고
    • Hypergroupes canoniques
    • Mittas J. Hypergroupes canoniques. Mathematica Balkanica 2 (1972), 165-179.
    • (1972) Mathematica Balkanica , vol.2 , pp. 165-179
    • Mittas, J.1
  • 27
    • 37249021698 scopus 로고
    • Representation of nondeterministic information
    • Orlowska E. and Pawlak Z. Representation of nondeterministic information. Theoretical Computer Science 29 (1984), 27-39.
    • (1984) Theoretical Computer Science , vol.29 , pp. 27-39
    • Orlowska, E.1    Pawlak, Z.2
  • 28
    • 33847754891 scopus 로고
    • Semantic of vague concepts. Applications of rough sets
    • Polish Academy of Sciences
    • Orlowska E. Semantic of vague concepts. Applications of rough sets, IPI/ICS PAS Report 469, Polish Academy of Sciences, 1982.
    • (1982) IPI/ICS PAS Report , vol.469
    • Orlowska, E.1
  • 29
    • 0023843961 scopus 로고
    • Representation of vague information
    • Orlowska E. Representation of vague information. Information Systems 13 (1988), 167-174.
    • (1988) Information Systems , vol.13 , pp. 167-174
    • Orlowska, E.1
  • 30
    • 0002265912 scopus 로고
    • Reasoning with incomplete information: Rough set based information logics
    • V. Algar, S. Bergler, F. Q. Dong Eds, Springer-Verlag
    • Orlowska E. Reasoning with incomplete information: rough set based information logics. In: V. Algar, S. Bergler, F. Q. Dong (Eds.), Incompleteness and Uncertainty in Information Systems Workshop. Springer-Verlag, 1993, 16-33.
    • (1993) Incompleteness and Uncertainty in Information Systems Workshop , pp. 16-33
    • Orlowska, E.1
  • 31
    • 0030217595 scopus 로고    scopus 로고
    • Rough sets and Nelson algebras
    • Pagliani P. Rough sets and Nelson algebras. Fundamenta Informaticae 27 (1996), 205-219.
    • (1996) Fundamenta Informaticae , vol.27 , pp. 205-219
    • Pagliani, P.1
  • 32
    • 0000425964 scopus 로고    scopus 로고
    • Rough set theory and logic-algebraic strucures
    • E. Or lowska Ed, Springer-Verlag
    • Pagliani P. Rough set theory and logic-algebraic strucures. In: E. Or lowska (Ed.), Incomplete Information: Rough Set Analysis. Springer-Verlag, 1998, 109-192.
    • (1998) Incomplete Information: Rough Set Analysis , pp. 109-192
    • Pagliani, P.1
  • 33
    • 0019699783 scopus 로고
    • Information Systems-theoretical foundation
    • Pawlak Z. Information Systems-theoretical foundation. Information Systems 6 (1981), 205-218.
    • (1981) Information Systems , vol.6 , pp. 205-218
    • Pawlak, Z.1
  • 36
    • 9444277777 scopus 로고    scopus 로고
    • Elementary rough set granules: Toward a rough set processor
    • S. K. Pal, L. Polkowski, A. Skowron Eds, Springer-Verlag
    • Pawlak Z. Elementary rough set granules: toward a rough set processor. In: S. K. Pal, L. Polkowski, A. Skowron (Eds.), Rough-Neural Computing: Techniques for Computing with Words. Springer-Verlag, 2003, 5-13.
    • (2003) Rough-Neural Computing: Techniques for Computing with Words , pp. 5-13
    • Pawlak, Z.1
  • 37
    • 35048818923 scopus 로고    scopus 로고
    • Some Issues on Rough Sets
    • Lectures Notes in Computer Science, 3100
    • Pawlak Z. Some Issues on Rough Sets. Transactions on Rough Sets, I, Journal Subline (Lectures Notes in Computer Science, 3100), 2004, 1-58.
    • (2004) Transactions on Rough Sets, I, Journal Subline , pp. 1-58
    • Pawlak, Z.1
  • 38
    • 34548842093 scopus 로고    scopus 로고
    • Near sets. Special theory about nearness of objects
    • Peters J. F. Near sets. Special theory about nearness of objects. Fundamenta Informaticae 73 (2006), 1-27.
    • (2006) Fundamenta Informaticae , vol.73 , pp. 1-27
    • Peters, J.F.1
  • 41
    • 0042627651 scopus 로고    scopus 로고
    • Hyperaffine planes over hyperrings
    • Rota R. Hyperaffine planes over hyperrings. Discrete Math. 155 (1996), 215-223.
    • (1996) Discrete Math , vol.155 , pp. 215-223
    • Rota, R.1
  • 42
    • 0043016587 scopus 로고    scopus 로고
    • v-rings with P-hyperoperations
    • v-rings with P-hyperoperations. Discrete Math. 155 (1996) 225-231.
    • (1996) Discrete Math , vol.155 , pp. 225-231
    • Spartalis, S.1
  • 44
    • 38049036341 scopus 로고    scopus 로고
    • Granular sets-Foundations and case study of tolerance spaces
    • Proc. of Rough Sets, Fuzzy Sets, Data Mining and Granular Computig, RSFDGrC2007
    • Slezak D. and Wasilewski P. Granular sets-Foundations and case study of tolerance spaces. In: Proc. of Rough Sets, Fuzzy Sets, Data Mining and Granular Computig, RSFDGrC2007. (Lecture Notes in Artificial Intelligence, 4482), 2007.
    • (2007) Lecture Notes in Artificial Intelligence , vol.4482
    • Slezak, D.1    Wasilewski, P.2
  • 46
    • 50249147605 scopus 로고
    • Hyperstructures and their Representations, Hadronic Press, Inc
    • USA
    • Vougiouklis T. Hyperstructures and their Representations, Hadronic Press, Inc, 115, Palm Harber, USA, 1994.
    • (1994) Palm Harber , vol.115
    • Vougiouklis, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.