L-intuitionistic fuzzy σ-algebras
作者： Shen-qing Jiang , Cong-hua Yan
DOI: 10.1016/J.CAMWA.2012.02.062
关键词: Fuzzy mathematics 、 Fuzzy measure theory 、 Discrete mathematics 、 Fuzzy logic 、 Membership function 、 Fuzzy set 、 Mathematics 、 Fuzzy subalgebra 、 Fuzzy number 、 Fuzzy classification
摘要: The main purpose of this paper is to generalize the concept (L,M)-fuzzy @s-algebras defined by Shi [F.G. Shi, @s-algebras, International Journal Mathematics and Mathematical Sciences. doi:10.1155/2010/356581] from L-fuzzy sets intuitionistic fuzzy sets; notions L-intuitionistic measurable functions are introduced; relationships among (I,I)-fuzzy I-fuzzifying studied. Then we give definition product @s-algebras; some their elementary properties discussed. By use notion generated proposed. Finally, functor I@z category proved.
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sci-hub.se 参考文章(18)
S. E. Rodabaugh, Powerset Operator Foundations For Poslat Fuzzy Set Theories And Topologies The Handbooks of Fuzzy Sets Series. pp. 91- 116 ,(1999) , 10.1007/978-1-4615-5079-2_3
Krassimir T. Atanassov, On Intuitionistic Fuzzy Sets Theory ,(2012)
Wei-Zhi Wu, Lei Zhou, Intuitionistic fuzzy approximations and intuitionistic fuzzy sigma-algebras rough sets and knowledge technology. pp. 355- 362 ,(2008) , 10.1007/978-3-540-79721-0_50
Jin Han Park, Intuitionistic Fuzzy Metric Spaces Chaos Solitons & Fractals. ,vol. 22, pp. 1039- 1046 ,(2004) , 10.1016/J.CHAOS.2004.02.051
Congxin Wu, Xuekun Ren, Fuzzy measures and discreteness Discrete Mathematics. ,vol. 308, pp. 4839- 4845 ,(2008) , 10.1016/J.DISC.2007.09.003
Erich Peter Klement, Fuzzy σ-algebras and fuzzy measurable functions Fuzzy Sets and Systems. ,vol. 4, pp. 83- 93 ,(1980) , 10.1016/0165-0114(80)90066-4
Krassimir T. Atanassov, Intuitionistic fuzzy sets Fuzzy Sets and Systems. ,vol. 20, pp. 87- 96 ,(1986) , 10.1016/S0165-0114(86)80034-3
A.I. Ban, S.G. Gal, Decomposable measures and information measures for intuitionistic fuzzy sets Fuzzy Sets and Systems. ,vol. 123, pp. 103- 117 ,(2001) , 10.1016/S0165-0114(00)00106-8
Cong-hua Yan, Xiao-ke Wang, Intuitionistic I-fuzzy topological spaces Czechoslovak Mathematical Journal. ,vol. 60, pp. 233- 252 ,(2010) , 10.1007/S10587-010-0013-7
Erich Peter Klement, Werner Schwyhla, Robert Lowen, Fuzzy probability measures Fuzzy Sets and Systems. ,vol. 5, pp. 21- 30 ,(1981) , 10.1016/0165-0114(81)90031-2