N-CYLINDRICAL FUZZY BIPOLAR INTERVAL NEUTROSOPHIC TOPLOGICAL SPACE

الملخص

   A fuzzy set theory extend classical set theory by allowing elements graded membership level between 0 and 1, formalized through membership functions.  Evolutionary fuzzy concept have been increased with the model of interval fuzzy, neutrosophic, interval neutrosophic, neutrosophic topological space etc. Our work is an attempt to define n-Cylindrical fuzzy bipolar interval neutrosophic sets and topology as the largest extension of  fuzzy sets and fuzzy topology to deal with the problems involved periodicity information and varies with time in, bipolar interval forms. In this paper, a representation n-cylindrical fuzzy bipolar interval neutrosophic based on the real numbers in the bipolar interval form is proposed. Then, we provide some of its basic properties, namely union, intersection and complement. Also n-cylindrical fuzzy bipolar interval neutrosophic topological space is introduced. By defining n-cylindrical fuzzy bipolar interval neutrosophic topology, we give some results in the form of theorems and propositions. Further, some examples are given to justify the definitions defined in this work.