Some results on fuzzy proper functions and connectedness in smooth fuzzy topological spaces

R. Roopkumar; C. Kalaivani

Mathematica Bohemica (2012)

  • Volume: 137, Issue: 3, page 311-332
  • ISSN: 0862-7959

Abstract

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In this paper, we introduce the notion of the ( α , β ) -weakly smooth fuzzy continuous proper function and discuss its properties. We also study several notions of connectedness in smooth fuzzy topological spaces and establish that the product of connected sets (spaces) is not connected in any sense, as well as investigate continuous images of smooth connected sets (spaces) under ( α , β ) -weakly smooth fuzzy continuous functions.

How to cite

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Roopkumar, R., and Kalaivani, C.. "Some results on fuzzy proper functions and connectedness in smooth fuzzy topological spaces." Mathematica Bohemica 137.3 (2012): 311-332. <http://eudml.org/doc/246418>.

@article{Roopkumar2012,
abstract = {In this paper, we introduce the notion of the $(\alpha ,\beta )$-weakly smooth fuzzy continuous proper function and discuss its properties. We also study several notions of connectedness in smooth fuzzy topological spaces and establish that the product of connected sets (spaces) is not connected in any sense, as well as investigate continuous images of smooth connected sets (spaces) under $(\alpha ,\beta )$-weakly smooth fuzzy continuous functions.},
author = {Roopkumar, R., Kalaivani, C.},
journal = {Mathematica Bohemica},
keywords = {fuzzy proper function; smooth fuzzy topology; smooth fuzzy continuity; fuzzy topological space; fuzzy subspace; proper function},
language = {eng},
number = {3},
pages = {311-332},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some results on fuzzy proper functions and connectedness in smooth fuzzy topological spaces},
url = {http://eudml.org/doc/246418},
volume = {137},
year = {2012},
}

TY - JOUR
AU - Roopkumar, R.
AU - Kalaivani, C.
TI - Some results on fuzzy proper functions and connectedness in smooth fuzzy topological spaces
JO - Mathematica Bohemica
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 137
IS - 3
SP - 311
EP - 332
AB - In this paper, we introduce the notion of the $(\alpha ,\beta )$-weakly smooth fuzzy continuous proper function and discuss its properties. We also study several notions of connectedness in smooth fuzzy topological spaces and establish that the product of connected sets (spaces) is not connected in any sense, as well as investigate continuous images of smooth connected sets (spaces) under $(\alpha ,\beta )$-weakly smooth fuzzy continuous functions.
LA - eng
KW - fuzzy proper function; smooth fuzzy topology; smooth fuzzy continuity; fuzzy topological space; fuzzy subspace; proper function
UR - http://eudml.org/doc/246418
ER -

References

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