Chitkara University Publications

Sequences of Fuzzy Soft Multi Points

Abstract:

In this paper we introduce a new sequence of fuzzy soft multi points in fuzzy soft multi topological space. The concepts of subsequence and convergence sequence of fuzzy soft multi points are proposed. The notion of cluster fuzzy soft multi points of sequences are also introduced. Some basic properties regarding the above concepts are explored.

Author(s):

  • Anjan Mukherjee, Department of Mathematics, Tripura University, Suryamaninagar,Agartala-799022, Tripura, INDIA
  • Ajoy Kanti Das, Department of Mathematics, Iswar Chandra Vidyasagar College, Belonia -799155, Tripura, INDIA

DOI: 

Keywords: 

Fuzzy Set, Soft multi set, Fuzzy soft set, Fuzzy soft multi set, Fuzzy soft multi topological space

References:

Alkhazaleh, S., Salleh, A.R., N. Hassan, N., Soft Multisets Theory, Applied Mathematical Sciences, 5, 3561–3573 (2011).

Alkhazaleh, S., Salleh, A. R., Fuzzy Soft Multisets Theory, Hindawi Publishing Corporation Abstract and Applied Analysis, Vol. 2012, Article ID 350603, 20 pages, http://dx.doi.org/10.1155/2012/350603.

Maji, P. K., Roy, A.R., Biswas, R., Fuzzy soft sets, Journal of Fuzzy Mathematics, 9, 589-602 (2001).

Maji, P. K., Roy, A.R. Biswas, R., Soft set theory, Computers and Mathematics with Applications, 45, 555-562 (2003). http://dx.doi.org/10.1016/S0898-1221(03)00016-6

Molodtsov, D., Soft set theory-first results, Computers and Mathematics with Applications, 37, 19–31 (1999). http://dx.doi.org/10.1016/S0898-1221(99)00056-5

Mukherjee, A., Das, A.K., Topological structure formed by fuzzy soft multi sets, Bulletin of Calcutta Mathematical Society, 106, 112-128 (2013).

Zadeh, L. A., Fuzzy sets, Inform. Control. 8, 338-353 (1965). http://dx.doi.org/10.1016/S0019-9958(65)90241-X

 

 

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