Fuzzy soft set connected mappings

Alpa Singh Rajput, Mahima Thakur, Samajh Singh Thakur

Abstract


In this paper, the concepts of fuzzy soft connectedness between fuzzy soft sets and fuzzy soft set connected mappings in fuzzy soft topological spaces has been introduced. It is shown that a fuzzy soft topological space is fuzzy soft connected if and only if it is fuzzy soft connected between every pair of its nonempty fuzzy soft sets. Every fuzzy soft continuous mapping is fuzzy soft set-connected a counter example is given to show the converse may not be true. Several properties of fuzzy soft set-connected mappings in fuzzy soft topological spaces have been studied.

Keywords


Fuzzy soft sets; Fuzzy soft connectedness; Fuzzy soft connectedness between fuzzy soft sets and Fuzzy soft set-connected mappings.

Full Text:

PDF

References


B. Ahmad and A. Kharal. On fuzzy soft sets. Adv. Fuzzy Syst. 9:1–6 , 2009.

C. L. Chang. Fuzzy topological spaces. J. Math. Anal. Appl., 24(1):182-189, 1968.

A. Kandil, O.A. El-Tantawy, S.A. El-shiekh and S.S.S. El-Sayed. Fuzzy soft connected sets in fuzzy soft topological spaces. J. Egyptian Math. Soc., 25(2): 171-177, 2017.

S. Karatas, B. Kilcc, M. Tellioglu. On fuzzy soft connected topological spaces. J. Linear Topol. Algebra, 4(3):229-240, 2015.

P. K. Maji, R.Biswas, and A. R. Roy. fuzzy soft sets. J. Fuzzy Math., 9(3): 589-602 (2001).

D. Molodtsov. Soft set theory first results. Comput. Math.Appl., 37 :9–31, 1999.

S. Roy, and T. K. Samanta. A note on fuzzy soft topological spaces. Ann. Fuzzy Math. Inform., 3(2): 305-311, 2011.

M. Shabir and M. Naz. On soft topological spaces. Comput. Math. Appl., 61: 1786–1799, 2011.

B. Tanay, M. B. Kandemir. Topological structures of fuzzy soft sets. Comput. Math. Appl., 61: 412-418, 2011.

Jyoti Neog Tridiv, Dusmanta Kumar Sut, G. C. Hazarika. Fuzzy Soft Topological Spaces. Int. J Latest Trend Math., 2(1):54–67, 2012.

B.P. Varol and H. Aygun. Fuzzy soft topology. Hacet. J. Math. Stat., 41(3): 407-419, 2012.

L.A. Zadeh. Fuzzy sets. Inf. Control, 8: 338–353, 1965




DOI: http://dx.doi.org/10.23755/rm.v48i0.1180

Refbacks

  • There are currently no refbacks.


Copyright (c) 2023 Alpa Singh Rajput, Mahima Thakur, Samajh Singh Thakur

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.