Shahrood University of TechnologyJournal of Algebraic Systems2345-51285120170901AN INDUCTIVE FUZZY DIMENSION152599510.22044/jas.2017.995ENM. AbrySchool of Mathematics and Computer Science, University of Damghan, P.O. Box
3671641167, Damghan, Iran.Jafar ZanjaniSchool of Mathematics and Computer science, University of Damghan, P.O.Box 3671641167, Damghan, Iran.Journal Article20160403Using a system of axioms among with a modified definition of boundary on the basis of the intuitionistic fuzzy sets, we formulate an inductive structure for the dimension of fuzzy spaces which has been defined by Coker. This new definition of boundary allows to characterize an intuitionistic fuzzy clopen set as a set with zero boundary. Also, some critical properties and applications are established.http://jas.shahroodut.ac.ir/article_995_5557c9774af984cbc69e62c98e4c2f2a.pdf