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- 2015
(λ, μ)-反模糊粗糙子群
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Abstract:
摘要： 引入(λ, μ)-反模糊子群与(λ, μ)-反模糊正规子群的概念,并研究了它们的基本性质。在此基础上,通过定义新的同余关系给出了(λ, μ)-反模糊粗糙子群与(λ, μ)-反模糊粗糙正规子群的概念,并刻画了它们的特征性质。
Abstract: The definitions of (λ, μ) anti-fuzzy subgroup and (λ, μ) anti-fuzzy normal subgroup were introduced first and their properties were discussed. Then based on the new congruence relation defined from (λ, μ) anti-fuzzy normal subgroup, the concepts of (λ, μ) anti-fuzzy rough subgroup and (λ, μ) anti-fuzzy rough normal subgroup were defined, and some properties were researched
| [1] | PAWLAK Z. Rough set: theoretical aspects of reasoning about data[M]. Dordrecht: Kluwer Academic Publishers, 1991. |
| [2] | ROSENFELD A. Fuzzy groups[J]. J Math Anal Appl, 1971, 35:512-517. |
| [3] | 沈正维. 一个群的反模糊子群[J]. 辽宁师范大学学报:自然科学版, 1995, 18(2): 99-101. SHEN Zhengwei. Anti-fuzzy subgroups of a group[J]. Journal of Liaoning Normal University: Natural Science Edition, 1995, 18(2):99-101. |
| [4] | YUAN X, ZHANG C, REN Y. Generalized fuzzy groups and many-valued implications[J]. Fuzzy Sets and Systems, 2003, 138(1): 205-211. |
| [5] | 肖丙峰,姚炳学. (λ, μ)-反模糊商群[J].聊城大学学报:自然科学版,2011,2(24):28-30. XIAO Bingfeng, YAO Bingxue. (λ, μ) Anti-fuzzy quotient group[J]. Journal of Liaocheng University: Natural Science Edition, 2011, 2(24):28-30. |
| [6] | 郝翠霞,齐玉霞.(λ, μ)-模糊粗糙子群[J].聊城大学学报:自然科学版,2014, 27(3):50-53, 60. HAO Cuixia. QI Yuxia. (λ, μ) -Fuzzy rough subgroups[J]. Journal of Liaocheng University: Natural Science Edition, 2014, 27(3):50-53, 60. |
| [7] | PAWLAK Z. Rough sets[J]. International Journal of Computer and Information Sciences, 1982, 11(5):341-356. |
| [8] | ZADEH L A. Fuzzy sets[J].Information and Control, 1965, 8:338-351. |
| [9] | BISWAS R. Fuzzy subgroups and anti-fuzzy subgroups[J]. Fuzzy Sets and Systems, 1990, 35(1):121-125. |
| [10] | YAO B. (λ, μ)-fuzzy normal subgroups and (λ, μ)-fuzzy quotient subgroups[J]. The Journal of Fuzzy Mathematics, 2005, 13(3):695-705. |
| [11] | KUROKI N, WANG P P. The lower and upper approximations in a fuzzy group[J]. Information Sciences, 1996, 90:203-220. |
| [12] | NANDA S, MAJUMDAR S. Fuzzy rough sets[J]. Fuzzy Sets and Systems, 1992, 45(2):157-160. |
| [13] | 张金玲,张振良.模糊粗糙子群[J].模糊系统与数学,2004,18(4):46-48. ZHANG Jinling, ZHANG Zhenliang. Fuzzy rough subgroups[J]. Fuzzy Systems and Mathematics, 2004, 18(4):46-48. |
