Some Results on Fuzzy Topological Modules and Fuzzy Topological Submodules

Authors

  • Mohammed Al-Shamiri Department of Mathematics, Faculty of science and arts ,Mohayl Assir, King Khalid University , K.S.A.

DOI:

https://doi.org/10.24203/ajfam.v8i1.6128

Keywords:

Topological module, Fuzzy topological module, Fuzzy topological R- submodule.

Abstract

In this paper, we bring together the structure of  fuzzy topological space ,fuzzy module and that of fuzzy ring to form a combined structure, that of a fuzzy topological R-module.  Properties  of fuzzy topological R-module ,topological R-submodule and its Properties  are also briefly examined. we proved many  theorems and corollaries as results shown in this paper.

References

Deb A. Ray, On (Left) Fuzzy Topolo- gical Ring, International Mathematical Forum, (2011), 6, 27, 1303 – 1312.

Lakshmana , V. GomathiNayagam, GeethaSivaraman, Induced topology on fuzzy singletons, Far East Journal of Applied Mathematics, ,(2008), 32 , 2189-198.

[ 3] Ma, J.L. C.H. Yu, Fuzzy topological groups, Fuzzy Sets andSystems, (1984) 12 ,289–299.

Nanda,S.,“Fuzzy Modules over fuzzy ringsâ€, Bull. Col.Math. Soc. (1989), 81, 197-200.

Palaniappan, N. , Fuzzy Topology (Second Edition), Narosa Publishing House, India2005.

Nayagam, V.L.G.D.Gauld,G.Venkateshwariand Sivaraman, “Strong Fuzzy Topological Group†New ZlandJournal of mathematics (2008),38, 187-195.

Pu , P. M. and Y. M. Liu, Fuzzy topology I. Neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl(1980). 76, 571–599.

Rosenfeld, A. ,Fuzzy groups, J.Math. Anal. Appl. (1971), 35,512-517.

Zadeh, L.A.,“Fuzzy setsâ€, Inf. Control,(1965 ), 8,338-353.

) Zheng Pan, Fu.,"Fuzzy Finitely generated Modulesâ€, Fuzzy sets and systems,(1987), 21, 105-113.

Zheng Pan, Fu.,"Fuzzy Finitely Value Distribution of Fuzzy Vector spaces and fuzzy Modules, Fuzzy sets and systems," (1993),55, 319-322

Published

2020-04-21

How to Cite

Al-Shamiri, M. (2020). Some Results on Fuzzy Topological Modules and Fuzzy Topological Submodules. Asian Journal of Fuzzy and Applied Mathematics, 8(1). https://doi.org/10.24203/ajfam.v8i1.6128

Issue

Section

Articles