Multiple Sets

Shijina V; Sunil John; Anitha Thomas

Multiple Sets

Year 2015, Volume: 4 Issue: 9, 18 - 27, 24.06.2015

Abstract

In this paper, the concept of multiple sets is in-
troduced as a generalization of fuzzy sets, multi fuzzy sets, fuzzy
multisets and multisets. The standard operations of union, in-
tersection, complement of multiple sets are discussed. Also it is
proved that multiple sets are L-fuzzy sets in the sense of Goguen.

Keywords

References

G. Birkho, Lattice theory, vol. 25, American Mathematical Soc., 1-131, 1967.
V. Cerf, E. Fernandez, K. Gostelow, S. Volausky, Formal control and low properties of
a model of computation, report eng 7178, Computer Science Department, University of
California, Los Angeles, 1971.
J. A. Goguen, L-fuzzy sets, Journal of mathematical analysis and applications 18 (1),
-174, 1967.
S. P. Jena, S. K. Ghosh, B. K. Tripathy, On the theory of bags and lists, Information
Sciences 132 (1), 241-254, 2001.
S. Miyamoto, Fuzzy multisets and their generalizations, Multiset Processing, Springer,
-235, 2001.
D. E. Rutherford, Introduction to lattice theory, Oliver and Boyd, 1-11, 1965.
S. Sebastian, T. V. Ramakrishnan, Multi-fuzzy sets: an extension of fuzzy sets, Fuzzy
Information and Engineering 3 (1), 35-43, 2011.
L. A. Skornjakov, V. Kumar, Elements of lattice theory,Hindustan Publishing Corpo-
ration Delhi, 1-57, 1977.
R. R. Yager, On the theory of bags,International Journal Of General System 13 (1),
-37, 1986.
L. A. Zadeh, Fuzzy sets, Information and control 8 (3), 338-353, 1965.

Year 2015, Volume: 4 Issue: 9, 18 - 27, 24.06.2015

Shijina V Sunil John Anitha Thomas

Abstract

References

G. Birkho, Lattice theory, vol. 25, American Mathematical Soc., 1-131, 1967.
V. Cerf, E. Fernandez, K. Gostelow, S. Volausky, Formal control and low properties of
a model of computation, report eng 7178, Computer Science Department, University of
California, Los Angeles, 1971.
J. A. Goguen, L-fuzzy sets, Journal of mathematical analysis and applications 18 (1),
-174, 1967.
S. P. Jena, S. K. Ghosh, B. K. Tripathy, On the theory of bags and lists, Information
Sciences 132 (1), 241-254, 2001.
S. Miyamoto, Fuzzy multisets and their generalizations, Multiset Processing, Springer,
-235, 2001.
D. E. Rutherford, Introduction to lattice theory, Oliver and Boyd, 1-11, 1965.
S. Sebastian, T. V. Ramakrishnan, Multi-fuzzy sets: an extension of fuzzy sets, Fuzzy
Information and Engineering 3 (1), 35-43, 2011.
L. A. Skornjakov, V. Kumar, Elements of lattice theory,Hindustan Publishing Corpo-
ration Delhi, 1-57, 1977.
R. R. Yager, On the theory of bags,International Journal Of General System 13 (1),
-37, 1986.
L. A. Zadeh, Fuzzy sets, Information and control 8 (3), 338-353, 1965.

There are 18 citations in total.

Details

Primary Language	EN
Journal Section	Articles
Authors	Shijina V This is me Sunil John Anitha Thomas This is me
Publication Date	June 24, 2015
Published in Issue	Year 2015 Volume: 4 Issue: 9

Cite

APA	V, S., John, S., & Thomas, A. (2015). Multiple Sets. Journal of New Results in Science, 4(9), 18-27.
AMA	V S, John S, Thomas A. Multiple Sets. JNRS. September 2015;4(9):18-27.
Chicago	V, Shijina, Sunil John, and Anitha Thomas. “Multiple Sets”. Journal of New Results in Science 4, no. 9 (September 2015): 18-27.
EndNote	V S, John S, Thomas A (September 1, 2015) Multiple Sets. Journal of New Results in Science 4 9 18–27.
IEEE	S. V, S. John, and A. Thomas, “Multiple Sets”, JNRS, vol. 4, no. 9, pp. 18–27, 2015.
ISNAD	V, Shijina et al. “Multiple Sets”. Journal of New Results in Science 4/9 (September 2015), 18-27.
JAMA	V S, John S, Thomas A. Multiple Sets. JNRS. 2015;4:18–27.
MLA	V, Shijina et al. “Multiple Sets”. Journal of New Results in Science, vol. 4, no. 9, 2015, pp. 18-27.
Vancouver	V S, John S, Thomas A. Multiple Sets. JNRS. 2015;4(9):18-27.

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