ON THE CONVERGENCE STRUCTURE OFL-TOPOLOGICAL SPACES AND THE CONTINUITY INL-TOPOLOGICAL SPACES

Mustafa Demi̇rci̇ ()
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Mustafa Demi̇rci̇: Department of Mathematics, Akdeniz University, Antalya, 07058, Turkey

New Mathematics and Natural Computation (NMNC), 2007, vol. 03, issue 01, 1-25

Abstract: A general and a comprehensive theory of fuzzy topological spaces on the basis of a fixed quadrupleM = (L, ≤, ⊗, *), where(L, ≤), ⊗ and *, respectively, denote a complete lattice and binary operations onLsatisfying some further axioms, was introduced by Höhle and Šostak.L-topological spaces, convergence structure ofL-topological spaces andL-continuous functions form an important part of their work. The present paper continues the study in this area, and provides new results on the convergence structure ofL-topological spaces and the continuity inL-topological spaces.

Keywords: Fuzzy topology; fuzzy filter; fuzzy neighborhood system; fuzzy continuity; fuzzy inclusion (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S1793005707000598

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