Fuzzy $${k_{\circ}}$$ k ∘ -preproximities related to fuzzy closure spaces

A. H. Zakari1, A. Ghareeb2, Y. C. Kim3
1Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi Arabia
2Department of Mathematics, College of Science in Al-Zulfi, Majmaah University, Al-Zulfi, Saudi Arabia
3Department of Mathematics, Gangneung-Wonju National University, Gangneung, Gangwondo, 210-702, Korea

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Abbas S., Abd-Allah A.: Lattice valued double syntopogenous structures. J. Assoc. Arab Univ. Basic Appl. Sci. 10(1), 33–41 (2011)

Çetkin V., Aygün H.: On double fuzzy preuniformity. J. Nonlinear Sci. Appl. 6, 263–278 (2013)

Chang C.L.: Fuzzy topological space. J. Math. Anal. Appl. 24, 182–190 (1968)

Chattopadhyay K.C., Samanta S.K.: Fuzzy topology: fuzzy closure operator, fuzzy compactness and fuzzy connectedness. Fuzzy Sets Syst. 54, 207–212 (1993)

Efremovič V.A.: Infinitesimal spaces. Dokl. Akad. Nauk SSSR 76, 341–343 (1951)

Han S.H.: Product space and quotient space in $${k_{\circ}}$$ k ∘ -proximity spaces. J. Kangweon-Kyungki Math. 10, 59–66 (2002)

Kains W., Egenhofer M.J., Greasely I.: Modeling spatial relations and operations with partially orderd sets. Int. J. Geogr. Inf. Syst. 7(3), 215–229 (1993)

Katsaras A.K.: Fuzzy proximity spaces. J. Math. Anal. Appl. 68, 100–110 (1979)

Kubiak, T.: On Fuzzy Topologies. Ph.D. Thesis, A. Mickiewicz, Poznan (1985)

Park K.D.: Note on the fuzzy proximity spaces. J. Kangweon-Kyungki Math. 10(2), 131–141 (2002)

Šostak A.: On a fuzzy topological structure. Rend. Circolo Mat. Palermo Ser. II 11, 89–103 (1985)

Zadeh L.A.: Fuzzy sets. Inf. Control 8, 333–353 (1965)

Zahran A.M., Abd-Allah M.A., El-Saady K., Ghareeb A.: Double fuzzy preproximity spaces. Int. J. Fuzzy Logic Intell. Syst. 7(4), 249–255 (2007)

Zahran A.M., Abd-Allah M.A., El-Saady K., Ghareeb A.: The category of double fuzzy preproximity spaces. Comput. Math. Appl. 58(8), 1558–1572 (2009)