Constructions of some quantum structures and fuzzy effect space

International Journal of Theoretical Physics

Volumn 43, Issue 5, 2004, Pages 1219-1229

  Yun, Shang ^a   Yongming, Li ^a   Maoyin, Chen ^b  

^a SHAANXI NORMAL UNIVERSITY   (China)

^b TSINGHUA UNIVERSITY   (China)

Author keywords

Effect algebras; Fuzzy effect space; Order determining system of states; Orthoalgebras; Orthomodular posets

Indexed keywords

EID: 24144456474     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:IJTP.0000048610.10893.1d     Document Type: Article

References (13)

1. Dvurečenskij, A. (1999). Fuzzy set representations of some quantum structures. Fuzzy Sets and Systems 101, 67-78.
2. Dvurečenskig, A. and Pulmannová, S. (2000). New Trends in Quantum Structures, Kluwer, Dordrecht, The Netherlands.
3. Foulis, D. J. and Bennett, M. K. (1994). Effect algebra and unsharp quantum logics. International Journal of Theoretical Physics 24, 1325-1346.
4. Giuntini, R. and Greuling, H. (1989). Toward a formal language for unsharp properties. Foundations of Physics 19, 931-945.
5. Gudder, S. and Pulmannová, S. (1997). Quotients of partial abelian monoids. Algebra Universalis 38, 395-421.
6. Kalmbach, G. (1983). Orthomodular Lattices, Academic Press, London.
7. Kôpka, F. (1992). D-Poset of fuzzy sets. Tatra Mountains Mathematical Publications 1, 83-87.
8. Kôpka, F. and Chovanec, F. (1994). D-Posets. Mathematical Slovaca 44, 21-34.
9. Liu, Y. M. and Luo, M. K. (1998). Fuzzy topology, World Scientific, Singapore.
10. Mesiar, R. (1994). h-Fuzzy quantum logics. International Journal of Theoretical Physics 33, 1417-1425.
11. Miklós, R. (1998). Quantum Logic in Algebraic Approach, Kluwer Academic, Dodrecht, The Netherlands.
12. Pykacz, J. (1992). Fuzzy set ideas in quantum logics. International Journal of Theoretical Physics 31, 1767-1783.
13. Pykacz, J. (1994). Fuzzy quantum logics and infinite-valued lukasiewicz logic. International Journal of Theoretical Physics 33, 1403-1416.