Open Access

J. Sathiyaraj, A. Vadivel and O. U. Maheshwari

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In this paper we introduce some new class of generalized sets namely $(r,\kappa)$-fuzzy $M$ generalized closed (resp. open) sets, $(r,\kappa)$-fuzzy $M$ generalized closure (resp. interior) and $(r,\kappa)$-fuzzy $M$ generalized $q$ neighborhood in double fuzzy topological spaces. Also, some of their fundamental properties and characterizations are discussed.

Keywords:
$(r,\kappa)$-f$M$gc, $(r,\kappa)$-f$M$go sets, $MgC_{\rho,\rho^*}(\gamma,r,\kappa)$, $MgI_{\rho,\rho^*}(\gamma,r,\kappa)$.