메뉴 건너뛰기




Volumn 178, Issue 16, 2008, Pages 3247-3252

A short note on algebraic T-rough sets

Author keywords

Lower inverse; Rough set; Set valued homomorphism; Set valued mapping; Upper inverse

Indexed keywords

FUZZY SETS; INVERSE PROBLEMS; ROUGH SET THEORY; SET THEORY;

EID: 45649084742     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2008.03.014     Document Type: Article
Times cited : (76)

References (35)
  • 1
    • 45649083707 scopus 로고    scopus 로고
    • Fuzzy sets and join spaces associated with rough sets, Rendiconti del Circolo Matematico di Palermo, Series II
    • Corsini P., and Leoreanu V. Fuzzy sets and join spaces associated with rough sets, Rendiconti del Circolo Matematico di Palermo, Series II. Tomo LI (2002) 527-536
    • (2002) Tomo LI , pp. 527-536
    • Corsini, P.1    Leoreanu, V.2
  • 3
    • 3042813950 scopus 로고    scopus 로고
    • Roughness in rings
    • Davvaz B. Roughness in rings. Information Sciences 164 (2004) 147-163
    • (2004) Information Sciences , vol.164 , pp. 147-163
    • Davvaz, B.1
  • 5
    • 33646912283 scopus 로고    scopus 로고
    • Roughness based on fuzzy ideals
    • Davvaz B. Roughness based on fuzzy ideals. Information Sciences 176 (2006) 2417-2437
    • (2006) Information Sciences , vol.176 , pp. 2417-2437
    • Davvaz, B.1
  • 6
    • 33845725646 scopus 로고    scopus 로고
    • Rough subpolygroups in a factor polygroup
    • Davvaz B. Rough subpolygroups in a factor polygroup. Journal of Intelligent and Fuzzy Systems 17 6 (2006) 613-621
    • (2006) Journal of Intelligent and Fuzzy Systems , vol.17 , Issue.6 , pp. 613-621
    • Davvaz, B.1
  • 7
    • 0036874722 scopus 로고    scopus 로고
    • On the structure of rough approximations
    • Jarvinen J. On the structure of rough approximations. Fundamental Informatica 53 (2002) 135-153
    • (2002) Fundamental Informatica , vol.53 , pp. 135-153
    • Jarvinen, J.1
  • 8
    • 3042820099 scopus 로고    scopus 로고
    • Roughness of ideals in BCK-algebras
    • Jun Y.B. Roughness of ideals in BCK-algebras. Scientiae Mathematicae Japonicae 57 1 (2003) 165-169
    • (2003) Scientiae Mathematicae Japonicae , vol.57 , Issue.1 , pp. 165-169
    • Jun, Y.B.1
  • 9
    • 33646936273 scopus 로고    scopus 로고
    • Roughness of Γ-subsemigroups/ideals in Γ-semigroups
    • Jun Y.B. Roughness of Γ-subsemigroups/ideals in Γ-semigroups. Bulletin of the Korean Mathematical Society 40 3 (2003) 531-536
    • (2003) Bulletin of the Korean Mathematical Society , vol.40 , Issue.3 , pp. 531-536
    • Jun, Y.B.1
  • 10
    • 37249037694 scopus 로고    scopus 로고
    • On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings
    • Kazanci{dotless} O., and Davvaz B. On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings. Information Sciences 178 (2008) 1343-1354
    • (2008) Information Sciences , vol.178 , pp. 1343-1354
    • Kazanci, O.1    Davvaz, B.2
  • 11
    • 40249102996 scopus 로고    scopus 로고
    • The lower and upper approximations in a quotient hypermodule with respect to fuzzy sets
    • 10.1016/j.ins.2008.01.006
    • Kazanci{dotless} O., Yamak S., and Davvaz B. The lower and upper approximations in a quotient hypermodule with respect to fuzzy sets. Information Sciences (2008) 10.1016/j.ins.2008.01.006
    • (2008) Information Sciences
    • Kazanci, O.1    Yamak, S.2    Davvaz, B.3
  • 12
    • 27944498703 scopus 로고    scopus 로고
    • On the structure of generalized rough sets
    • Kondo M. On the structure of generalized rough sets. Information Sciences 176 (2006) 589-600
    • (2006) Information Sciences , vol.176 , pp. 589-600
    • Kondo, M.1
  • 13
    • 0031206635 scopus 로고    scopus 로고
    • Rough ideals in semigroups
    • Kuroki N. Rough ideals in semigroups. Information Sciences 100 (1997) 139-163
    • (1997) Information Sciences , vol.100 , pp. 139-163
    • Kuroki, N.1
  • 14
    • 0030127824 scopus 로고    scopus 로고
    • The lower and upper approximations in a fuzzy group
    • Kuroki N., and Wang P.P. The lower and upper approximations in a fuzzy group. Information Sciences 90 (1996) 203-220
    • (1996) Information Sciences , vol.90 , pp. 203-220
    • Kuroki, N.1    Wang, P.P.2
  • 15
    • 35748956126 scopus 로고    scopus 로고
    • Rough fuzzy approximations on two universes of discourse
    • Li T.-J., and Zhang W.-X. Rough fuzzy approximations on two universes of discourse. Information Sciences 178 (2008) 892-906
    • (2008) Information Sciences , vol.178 , pp. 892-906
    • Li, T.-J.1    Zhang, W.-X.2
  • 16
    • 34547788720 scopus 로고    scopus 로고
    • (θ, T)-fuzzy rough approximation operators and the TL-fuzzy rough ideals on a ring
    • Li F., Yin Y., and Lu L. (θ, T)-fuzzy rough approximation operators and the TL-fuzzy rough ideals on a ring. Information Sciences 177 (2007) 4711-4726
    • (2007) Information Sciences , vol.177 , pp. 4711-4726
    • Li, F.1    Yin, Y.2    Lu, L.3
  • 17
    • 34250741488 scopus 로고    scopus 로고
    • Rough set based 1-v-1 and 1-v-r approaches to support vector machine multi-classification
    • Lingras P., and Butz C. Rough set based 1-v-1 and 1-v-r approaches to support vector machine multi-classification. Information Sciences 177 (2007) 3782-3798
    • (2007) Information Sciences , vol.177 , pp. 3782-3798
    • Lingras, P.1    Butz, C.2
  • 18
    • 38349050365 scopus 로고    scopus 로고
    • Generalized rough sets over fuzzy lattices
    • Liu G. Generalized rough sets over fuzzy lattices. Information Sciences 178 (2008) 1651-1662
    • (2008) Information Sciences , vol.178 , pp. 1651-1662
    • Liu, G.1
  • 19
    • 36549024482 scopus 로고    scopus 로고
    • A weighted rough set based method developed for class imbalance learning
    • Liu J., Hu Q., and Yu D. A weighted rough set based method developed for class imbalance learning. Information Sciences 178 (2008) 1235-1256
    • (2008) Information Sciences , vol.178 , pp. 1235-1256
    • Liu, J.1    Hu, Q.2    Yu, D.3
  • 24
    • 33749668975 scopus 로고    scopus 로고
    • Rough sets and boolean reasoning
    • Pawlak Z., and Skowron A. Rough sets and boolean reasoning. Information Sciences 177 (2007) 41-73
    • (2007) Information Sciences , vol.177 , pp. 41-73
    • Pawlak, Z.1    Skowron, A.2
  • 25
    • 34447332511 scopus 로고    scopus 로고
    • On definable concepts of rough set models
    • Pei D. On definable concepts of rough set models. Information Sciences 177 (2007) 4230-4239
    • (2007) Information Sciences , vol.177 , pp. 4230-4239
    • Pei, D.1
  • 26
    • 18844409155 scopus 로고    scopus 로고
    • Rough operations on boolean algebras
    • Qi G., and Liu W. Rough operations on boolean algebras. Information Sciences 173 (2005) 49-63
    • (2005) Information Sciences , vol.173 , pp. 49-63
    • Qi, G.1    Liu, W.2
  • 27
    • 34948842036 scopus 로고    scopus 로고
    • Measures for evaluating the decision performance of a decision table in rough set theory
    • Qian Y., Liang J., Li D., Zhang H., and Dang C. Measures for evaluating the decision performance of a decision table in rough set theory. Information Sciences 178 (2008) 181-202
    • (2008) Information Sciences , vol.178 , pp. 181-202
    • Qian, Y.1    Liang, J.2    Li, D.3    Zhang, H.4    Dang, C.5
  • 28
    • 29744441797 scopus 로고    scopus 로고
    • Rough prime ideals and rough fuzzy prime ideals in semigroups
    • Xiao Q.M., and Zhang Z.-L. Rough prime ideals and rough fuzzy prime ideals in semigroups. Information Sciences 176 (2006) 725-733
    • (2006) Information Sciences , vol.176 , pp. 725-733
    • Xiao, Q.M.1    Zhang, Z.-L.2
  • 29
    • 36549059218 scopus 로고    scopus 로고
    • Dominance-based rough set approach and knowledge reductions in incomplete ordered information system
    • Yang X., Yang J., Wu C., and Yu D. Dominance-based rough set approach and knowledge reductions in incomplete ordered information system. Information Sciences 178 (2008) 1219-1234
    • (2008) Information Sciences , vol.178 , pp. 1219-1234
    • Yang, X.1    Yang, J.2    Wu, C.3    Yu, D.4
  • 30
    • 33748157879 scopus 로고    scopus 로고
    • Neighborhood systems and approximate retrieval
    • Yao Y. Neighborhood systems and approximate retrieval. Information Sciences 176 (2007) 3431-3452
    • (2007) Information Sciences , vol.176 , pp. 3431-3452
    • Yao, Y.1
  • 31
    • 85033679351 scopus 로고    scopus 로고
    • Y.Y. Yao, Interval-set algebra for qualitative knowledge representation, in: Proceedings of the Fifth International Conference on Computing and Information, 1993, pp. 370-375.
    • Y.Y. Yao, Interval-set algebra for qualitative knowledge representation, in: Proceedings of the Fifth International Conference on Computing and Information, 1993, pp. 370-375.
  • 32
    • 0001375356 scopus 로고    scopus 로고
    • Two views of the theory of rough sets in finite universes
    • Yao Y.Y. Two views of the theory of rough sets in finite universes. International Journal of Approximate Reasoning 15 (1996) 291-317
    • (1996) International Journal of Approximate Reasoning , vol.15 , pp. 291-317
    • Yao, Y.Y.1
  • 33
    • 4944236899 scopus 로고    scopus 로고
    • Two new operators in rough set theory with applications to fuzzy sets
    • Zhang H., Liang H., and Liu D. Two new operators in rough set theory with applications to fuzzy sets. Information Sciences 166 (2004) 147-165
    • (2004) Information Sciences , vol.166 , pp. 147-165
    • Zhang, H.1    Liang, H.2    Liu, D.3
  • 34
    • 34548228836 scopus 로고    scopus 로고
    • Generalized rough sets based on relations
    • Zhu W. Generalized rough sets based on relations. Information Sciences 177 (2007) 4997-5011
    • (2007) Information Sciences , vol.177 , pp. 4997-5011
    • Zhu, W.1
  • 35
    • 33845963394 scopus 로고    scopus 로고
    • Topological approaches to covering rough sets
    • Zhu W. Topological approaches to covering rough sets. Information Sciences 177 (2007) 1499-1508
    • (2007) Information Sciences , vol.177 , pp. 1499-1508
    • Zhu, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.