a necessary and sufficient condition in terms of lower cut sets are given for the insertion of a $gamma-$continuous function between two comparable real-valued functions.

By increasing house demand for living, the urban development planning has turned to towers, which provides a platform for the growth of the city, regardless of the traditional Iranian's architecture. Among the vital elements in traditional architecture, there are a variety of open and semi-open spaces such as the central courtyard, pool, veranda, balcony, etc that have been provided the needs f...

In this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. By using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior (closure) operator. Also, we introduce fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. Moreover, we investigate the ...

according to statistics, in 2009 iran’s oil and gas consumption were 1.4 and 3.1 times higher than the world average and during 1998 to 2008 residential sector accounted for 42% of the total energy consumption in the country. as hot-humid climate is the most severe climate across the world, climatic consideration must be incorporated in design of the new dwellings in this area. over the centuri...