Open AccessRegular open sets in fuzzifying topology redefined
Author(s) -
F. M. Zeyada,
A. K. Mousa
Publication year - 2014
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.12.002
Subject(s) - lemma (botany) , mathematics , topology (electrical circuits) , open set , discrete mathematics , combinatorics , ecology , poaceae , biology
In 2000 [1], Zahran introduced the concept of regular open sets in fuzzifying topology. In 2004 [2], Sayed and Zahran, gave an example to illustrate that the statements:(1)⊨A∈Rτ→A∈τ (Lemma 2.2 [1]); and(2)⊨(A∈Rτ∧B∈Rτ)→A∩B∈Rτ (Theorem 2.4 [1]),are incorrect. In the present paper we redefine this concept to make these statements correct. Furthermore, by making use of our definition of regular open sets, the concepts of almost continuity and δ-continuity are introduced and studied in fuzzifying topology