Soft set mappings and their properties

• Autorzy: Matłoka M.
• Języki publikacji: EN

Abstrakty

EN

In the present paper we introduce the concept of soft set mapping. Next, we present some basic properties of such mappings.

Słowa kluczowe

EN

soft set; soft set mapping; conical; super-additive; closed soft set mappings

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2012
• Tom: Vol. 41, no. 3
• Strony: 595--604
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Matłoka M.

• Department of Applied Mathematics Poznań University of Economics Al. Niepodległości 10, 61-875 Poznań, Poland,

Bibliografia

• ATANASSOV, K. (1986) Intuitionistic fuzzy sets. Fuzzy sets and Systems 20, 87-96.
• AKTAS, H. and CAĞMAN, N. (2007) Soft sets and soft groups. Information Sciences 177, 2726-2735.
• CHEN, D., TSANG, E. C. C., YEUNG, D. S. and WANG, X. (2005) The parameterization reduction of soft set and its applications. Computers & Mathematics with Applications 49, 757-763.
• FENG, F., JUN, Y. B. and ZHAO, X. (2008) Soft semirings. Computers & Mathematics with Applications 56 (10), 2621-2628.
• GORZAŁCZANY, M. B. (1987) A method of inference in approximate reasoning based on interwal-valued fuzzy sets. Fuzzy Sets and Systems 21, 1-17.
• KONG, Z., GAO, L. Q., WANG, L. F. and LI, S. (2008) The normal parameter reduction of soft sets and its algorithm. Computers & Mathematics with Applications 56, 3029-3037.
• MAJI, P. K., BISWAS, R. and ROY, A. R. (2003) Soft Set theory. Computers & Mathematics with Applications 45, 555-562.
• MAJI, P. K. and ROY, A. R. (2002) An application of soft set in decision making problem. Computers & Mathematics with Applications 44, 1077-1083.
• MOLODTSOV, D. (1999) Soft set theory - First results. Computers & Mathematics with Applications 37 (4/5), 19-31.
• PAWLAK, Z. (1982) Rough sets. Int. J. Inform. Comput. Sci. 11, 341-356.
• PAWLAK, Z. (1991) Rough sets: Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Boston.
• PAWLAK, Z. and SKOWRON, A. (1994) Rough membership function. In: R. E. Yager, M. Fedrizzi, J. Kacprzyk, eds., Advances in the Dempster-Schafer of Evidence. Wiley, New York, 251-271.
• PEI, D. and MIAO, D. (2005) From soft sets to information systems. Granular Computing, IEEE International Conference, 2, 617-621.
• SHABIR, M. and NAZ, M. (2011) On soft topological spaces. Computers & Mathematics with Applications 61, 1786-1799.
• SKOWRON, A. and STEPANIUK, J. (1996) Tolerance approximation spaces. Fundamenta Informaticae 27, 245-253.
• SUN, Q.-M., ZHANG, Z.-L. and LIU, J. (2008) Soft sets and soft modules. In: G. Wang, T.-R. Li, J. W. Grzymala-Busse, D. Miao, A. Skowron, Y. Yao, eds., Rough sets and Knowledge Technology. RSKT - 2008, Proceedings. Springer, 403-409.
• WALCZAK, B. and MASSART, D. L., (1999) Rough sets theory. Chemometrics Intell. Lab. Syst. 47, 1-16.
• XIAO, Z., LI, Y., ZHONG, B. and YANG, X. (2003) Research on synthetically evaluating method for business competitive capacity based on soft set. Statistical Research, 52-54.
• ZADEH, L. A. (1965) Fuzzy sets. Information and Control 8, 338-353.