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
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- ration Delhi, 1-57, 1977.
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Year 2015,
Volume: 4 Issue: 9, 18 - 27, 24.06.2015
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 |
|---|---|
| Authors | |
| Publication Date | June 24, 2015 |
| IZ | https://izlik.org/JA86YK73MF |
| Published in Issue | Year 2015 Volume: 4 Issue: 9 |