Extension principle of lattice-valued fuzzy set

Proceedings - Fourth International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2007

Volumn 1, Issue , 2007, Pages 140-144

  Zeng, Wenyi ^a   Zhao, Yibin ^b   Li, Hongxing ^a   Yu, Xuanchuan ^a  

^a BEIJING NORMAL UNIVERSITY   (China)

^b INSTITUTE OF DISASTER PREVENTION   (China)

Author keywords

Extension principle; Lattice valued fuzzy set; Lattice valued nested set; Reasonable extension operator

Indexed keywords

EXTENSION PRINCIPLES; LATTICE-VALUED FUZZY SETS; LATTICE-VALUED NESTED SETS; REASONABLE EXTENSION OPERATORS;

ALGEBRA; DATA MINING; DECISION MAKING; PROBLEM SOLVING;

FUZZY SETS;

EID: 44049092832     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FSKD.2007.282     Document Type: Conference Paper

References (16)

1. Atanassov K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986), 87-96
2. Atanassov K., Intuitionistic Fuzzy Sets: Theory and Applications. Physica-Verlag, Heidelberg, New York, 1999.
3. Biswas R., Rosenfeld's fuzzy subgroups with interval-valued membership functions, Fuzzy Sets and Systems, 1994(63), 87-90
4. Bustince H., Burillo P., Mathematical analysis of interval-valued fuzzy relations: Application to approximate reasoning, Fuzzy Sets and Systems, 2000(113), 205-219
5. Carol L.W., Elber A.W., The algebra of fuzzy truth valued, Fuzzy sets and Systems, 2005(149), 309-347
6. Deschrijver G., Kerre E.E., On the relationship between some extensions of fuzzy set theory, Fuzzy Sets and Systems, 2003(133), 227-235
7. Dubois D., Henri P., Fuzzy real algebra:some results, Fuzzy Sets and Systems, 1979(2),327-348
8. Goguen J.A., L - fuzzy sets, J. Math. Anal. Appl., 1967(18), 145-174
9. Guiérez Gardí J., Rodabaugh S.E., Order-theoretic. toplogical, categorical redundancies of interval-valued sets, grey sets,vague sets, interval-valued "intuitionistic"sets, "intuitionistic" fuzzy sets and topologies, Fuzzy Sets and Systems, 2005(156), 445-484
10. Luo C.Z., Intruduction to Fuzzy Subsets, Beijing Normal University Press, Beijing, 1989(in Chinese)
11. Nilesh, N.K., Jerry, M.M., Operations on type-2 fuzzy sets, Fuzzy Sets and Systems, 2001(122), 327-348
12. Ulrich H., Representation theorems for L-fuzzy quantities, Fuzzy Sets and Systems, 1981(5), 83-107
13. Zadeh L.A., Fuzzy sets, Infor. and Contr., 1965(8), 338-353
14. Zadeh L.A., The concept of a linguistic variable and its application to approximate reasoning, Part (I), (II), (III), Infor. Sci., 1975(8), 199-249; 301-357; 1975(9), 43-80
15. Zeng W.Y., Shi Y., Note on interval-valued fuzzy set, Lecture Notes in Artificial Intelligence, Vol. 3316, 2005, 20-25
16. Zeng W.Y., Shi Y, Li H.X., Representation theorem of interval-valued fuzzy set, Internat. J. Uncert. Fuzzi. Knowl. Systems, Vol. 14(3), 2006, 259-269