Fuzzy quantic nuclei and conuclei with applications to fuzzy semi-quantales and (L, M)-quasi-fuzzy topologies
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Mulvey, C. J.: &. Suppl. Rend. Circ. Mat. Palermo Ser. 12, 99–104 (1986).
Rodabaugh, S. E.: Relationship of algebraic theories to powerset theories and fuzzy topological theories for lattice-valued mathematics. Int. J. Math. Math. Sci. 71, 2007 (2007). Article ID 43645, http://dx.doi.org/10.1155/2007/43645 .
Höhle, U.: Prime elements of non-integral quantales and their applications. Order. 32, 329–346 (2015).
El-Saady, K.: Topological representation and quantic separation axioms of semi-quantales. J. Egypt. Math. Soc. 24, 568–573 (2016).
El-Saady, K.: A non-commutative approach to uniform structures. J. Intell. Fuzzy Syst. 31, 217–225 (2016).
Demirci, M.: Fuzzy semi-quantales, (L, M)-quasi-fuzzy topological spaces and their duality. In: 7th International Joint Conference on Computational Intelligence (IJCCI), pp. 105–111. IEEE press, Lisbon (2015). https://ieeexplore.ieee.org/document/7533270 .
Kubiak, A. T., S̆ostak, A. P.: Foundations of the theory of (L, M)-fuzzy topological spaces. In: Bodenhofer, U., DeBaets, B., Klement, E. P., Saminger-Platz, S. (eds.)Abstracts of the 30th Linz Seminar on Fuzzy Set Theory, pp. 70–73. Johannes Kepler Universität, Linz (2009).
Höhle, U., S̆ostak, A. P.: Mathematics of Fuzzy Sets:Logic, Topology and Measure Theory. In: Höhle, U., Rodabaugh, S. E. (eds.), pp. 123–272. Kluwer Academic Publishers, Boston (1999).
Rodabaugh, S. E.: Functorial comparisons of bitopology with topology and the case for redundancy of bitopology in lattice-valued mathematics. Appl. Gen. Topol. 9, 77–108 (2008).
Rosenthal, K. I.: Quantales and Their Applications. Longman Scientific and Technical, New York (1990).
Rodabaugh, S. E.: Topological and Algebraic Structures in Fuzzy Sets, The Handbook of Recent Developments in the Mathematics of Fuzzy Sets,Trends in Logic. In: Klement, E. P., Rodabaugh, S. E. (eds.), pp. 199–234. Kluwer Academic Publishers, Boston/Dordrecht/London (2003).
Rodabaugh, S. E.: A categorical accommodation of various notions of fuzzy topology. Fuzzy Sets and Systems. 9, 241–265 (1983).
Denniston, J. T., Melton, A., Rodabaugh, S. E.: Formal concept analysis and lattice-valued chu systems. Fuzzy Sets and Systems. 216, 52–90 (2013).
Gierz, G., Hofmann, K. H., Keimel, K., et al.: Continuous Lattices and Domains. Cambridge University Press, UK (2003).
Erné, M., Koslowski, J., A., M., Strecker, G. E.: A primer on galois connections. Ann. N. Y. Acad. Sci. 704, 103–125 (1993).
Solovyov, S.: Lattice-valued topological systems as a framework for lattice-valued formal concept analysis. J. Math. 2013(Article ID 506275), 33 (2013). Article ID 506275, http://dx.doi.org/10.1155/2013/506275 .
Wang, S. Q., Zhao, B.: Ideals of quantales. J. Shaanxi Norm. Univ. Nat. Sci. Ed. 31(4), 7–10 (2003). (in Chinese).
Ganter, B., Wille, R.: Formal Concept Analysis: Mathematical Foundations. Springer, New York (1996).
Tamura, T.: Examples of direct products of semigroups or groupoids. Am. Math. Soc. 31, 419–422 (1962).