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We introduce a new notion of fuzzyr-interior which is an extension of Chang's fuzzyinterior. Using fuzzy r-interior, we define fuzzyr-semiopen sets and fuzzyr-semicontinuous maps which are generalizations offuzzy semiopen sets and fuzzy semicontinuous maps in Chang's fuzzytopology, respectively. Some basic properties of fuzzyr-semiopen sets and fuzzyr-semicontinuous maps are investigated

international journal of mathematics and mathematical sciences

Fuzzy<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$r$"><mml:mi>r</mml:mi></mml:math>-continuous and fuzzy<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$r$"><mml:mi>r</mml:mi></mml:math>-semicontinuous maps

Fuzzyr-continuous and fuzzyr-semicontinuous maps