- A. Buikis and S. Solovyov,
*Influence of input data on the solution of the multiphase liquid flow model*, Math. Model. Anal.**6**(2001), no. 1, 39-47. - S. Solovjovs,
*Some remarks on the category SET(L)*, Acta Univ. Latv.**688**(2005), 83-97. - S. Solovjovs,
*On fuzzification of algebraic and topological structures*, Proceedings of the 5th EUSFLAT Conference (M. Stepnicka, V. Novak, and U. Bodenhofer, eds.), vol. II, University of Ostrava, 2007, pp. 395-401. - S. Solovyov,
*On some properties of the forgetful functor U: SET(L)-->SET*, Proc. Latv. Acad. Sci., Sect. B, Nat. Exact Appl. Sci.**57**(2003), 117-120. - S. Solovyov,
*Some remarks on the category SET(L), part II*, Mat. Vesn.**55**(2003), 65-82. - S. Solovyov,
*Some remarks on the category SET(L), part III*, Glas. Mat.**39**(2004), 1-20. - S. Solovyov,
*Categories of lattice-valued sets as categories of arrows*, Fuzzy Sets Syst.**157**(2006), no. 6, 843-854. - S. Solovyov,
*On the category Set(JCPos)*, Fuzzy Sets Syst.**157**(2006), no. 3, 459-465. - S. Solovyov,
*Completion of partially ordered sets*, Discuss. Math., Gen. Algebra Appl.**27**(2007), 59-67. - S. Solovyov,
*On a generalization of Goguen's category Set(L)*, Fuzzy Sets Syst.**158**(2007), no. 4, 367-385. - S. Solovyov,
*Categorical frameworks for variable-basis sobriety and spatiality*, Math. Stud. (Tartu)**4**(2008), 89-103. - S. Solovyov,
*On coproducts of quantale algebras*, Math. Stud. (Tartu)**3**(2008), 115-126. - S. Solovyov,
*On the category Q-Mod*, Algebra Univers.**58**(2008), no. 1, 35-58. - S. Solovyov,
*A representation theorem for quantale algebras*, Contr. Gen. Alg.**18**(2008), 189-198. - S. Solovyov,
*Sobriety and spatiality in varieties of algebras*, Fuzzy Sets Syst.**159**(2008), no. 19, 2567-2585. - S. Solovyov,
*On ordered categories as a framework for fuzzification of algebraic and topological structures*, Fuzzy Sets Syst.**160**(2009), no. 20, 2910-2925. - S. Solovyov,
*Categorically-algebraic dualities*, Acta Univ. M. Belii, Ser. Math.**17**(2010), 57-100. - S. Solovyov,
*Categorically-algebraic frameworks for Priestley duality*, Contr. Gen. Alg.**19**(2010), 187-208. - S. Solovyov,
*From quantale algebroids to topological spaces: fixed- and variable-basis approaches*, Fuzzy Sets Syst.**161**(2010), no. 9, 1270-1287. - S. Solovyov,
*Hypergraph functor and attachment*, Fuzzy Sets Syst.**161**(2010), no. 22, 2945-2961. - S. Solovyov,
*On fuzzification of the notion of quantaloid*, Kybernetika**46**(2010), no. 6, 1025-1048. - S. Solovyov,
*On monadic quantale algebras: basic properties and representation theorems*, Discuss. Math., Gen. Algebra Appl.**30**(2010), no. 1, 91-118. - S. Solovyov,
*Variable-basis topological systems versus variable-basis topological spaces*, Soft Comput.**14**(2010), no. 10, 1059-1068. - S. Solovyov,
*Fuzzy algebras as a framework for fuzzy topology*, Fuzzy Sets Syst.**173**(2011), no. 1, 81-99. - S. Solovyov,
*Generalized fuzzy topology versus non-commutative topology*, Fuzzy Sets Syst.**173**(2011), no. 1, 100-115. - S. Solovyov,
*Localification of variable-basis topological systems*, Quaest. Math.**34**(2011), no. 1, 11-33. - S. Solovyov,
*A note on nuclei of quantale algebras*, Bull. Sect. Logic**40**(2011), no. 1/2, 91-112. - S. Solovyov,
*On a generalization of the concept of state property system*, Soft Comput.**15**(2011), no. 12, 2467-2478. - S. Solovyov,
*On algebraic and coalgebraic categories of variety-based topological systems*, Iran. J. Fuzzy Syst.**8**(2011), no. 5, 13-30. - S. Solovyov,
*On limits and colimits of variety-based topological systems*, Fuzzy Sets Syst.**178**(2011), no. 1, 54-73. - S. Solovyov,
*Powerset operator foundations for catalg fuzzy set theories*, Iran. J. Fuzzy Syst.**8**(2011), no. 2, 1-46. - S. Solovyov,
*Extended-order algebras as a generalization of posets*, Demonstratio Math.**44**(2011), no. 3, 589-614. - A. Frascella, C. Guido, and S. Solovyov,
*Dual attachment pairs in categorically-algebraic topology*, Appl. Gen. Topol.**12**(2011), no. 2, 101-134. - S. Solovyov,
*Categorical foundations of variety-based topology and topological systems*, Fuzzy Sets Syst.**192**(2012), 176-200. - S. Solovyov,
*On cartesian closed categories of modified weak extended-order algebras*, Contr. Gen. Alg.**20**(2012), 85-100. - S. Solovyov,
*Composite variety-based topological theories*, Fuzzy Sets Syst.**195**(2012), 1-32. - S. Solovyov,
*Sobriety and spatiality in categories of lattice-valued algebras*, Fuzzy Sets Syst.**204**(2012), 1-26. - S. Solovyov,
*Topological systems and Artin glueing*, Math. Slovaca**62**(2012), no. 4, 647-688. - S. Solovyov,
*Lattice-valued topological systems as a framework for lattice-valued Formal Concept Analysis*, Journal of Mathematics**2013**(2013), Article ID 506275, 33 pages, http://dx.doi.org/10.1155/2013/506275 - A. Frascella, C. Guido, and S. Solovyov,
*Algebraically-topological systems and attachments*, Iran. J. Fuzzy Syst.**10**(2013), no. 3, 65-102. - S. Solovyov,
*Categorically-algebraic topology versus universal topology*, Fuzzy Sets Syst.**227**(2013), 25-45. - S. Solovyov,
*Lattice-valued soft algebras*, Soft Comput.**17**(2013), no. 10, 1751-1766. - S. Solovyov,
*On fuzzification of topological categories*, Fuzzy Sets Syst.**238**(2014), 1-25. - J. Paseka, S. Solovyov, and M. Stehlik,
*On the category of lattice-valued bornological vector spaces*, J. Math. Anal. Appl.**419**(2014), no. 1, 138-155. - C. Guido and S. Solovyov,
*Topological systems versus attachment relations*, Quaest. Math.**37**(2014), no. 4, 455-484. - S. Solovyov,
*Variable-basis categorically-algebraic dualities*, Fuzzy Inf. Eng.**6**(2014), no. 4, 393-425. - J. T. Denniston, A. Melton, S. E. Rodabaugh, and S. Solovyov,
*Lattice-valued preordered sets as lattice-valued topological systems*, Fuzzy Sets Syst.**259**(2015), 89-110. - J. Paseka, S. Solovyov, and M. Stehlik,
*Lattice-valued bornological systems*, Fuzzy Sets Syst.**259**(2015), 68-88. - S. Solovyov,
*On a lax-algebraic characterization of closed maps*, Appl. Categ. Struct.**23**(2015), no. 3, 263-277. - S. Solovyov,
*Categorically-algebraic topology and its applications*, Iran. J. Fuzzy Syst.**12**(2015), no. 3, 57-94. - S. Solovyov,
*Many for the price of one duality principle for affine sets*, Appl. Categ. Struct.**23**(2015), no. 5, 643-663. - S. Solovyov,
*Characterization of a category for monoidal topology*, Algebra Univers.**74**(2015), no. 3, 389-410. - S. Solovyov,
*Functorial semantics of topological theories*, Iran. J. Fuzzy Syst.**12**(2015), no. 5, 1-43. - S. Solovyov,
*Localification procedure for affine systems*, Cah. Topol. Geom. Differ. Categ.**56**(2015), no. 2, 109-131. - J. Paseka and S. Solovyov,
*Categorical foundations of variety-based bornology*, Fuzzy Sets Syst.**291**(2016), 132-143. - J. T. Denniston, A. Melton, S. E. Rodabaugh, and S. Solovyov,
*Topological systems as a framework for institutions*, Fuzzy Sets Syst.**298**(2016), 91-108. - J. Paseka, S. Solovyov, and M. Stehlik,
*On a topological universe of L-bornological spaces*, Soft Comput.**20**(2016), no. 7, 2503-2512. - S. Solovyov,
*On lax-algebraic (co)nuclei*, Math. Appl.**5**(2016), 55-82. - S. Solovyov,
*Quantale algebras as a generalization of lattice-valued frames*, Hacet. J. Math. Stat.**45**(2016), no. 3, 781-809.

- S. Solovjovs,
*On a Categorical Generalization of the Concept of Fuzzy Set: Basic Definitions, Properties, Examples*, VDM Verlag Dr. Muller, Germany, 2008 (updated version of the PhD Thesis published as a book).

- J. T. Denniston, A. Melton, S. E. Rodabaugh, and S. Solovyov,
*Sierpinski object for affine systems*, to appear in Fuzzy Sets Syst.

- J. T. Denniston, A. Melton, S. E. Rodabaugh, and S. Solovyov,
*Relational topological spaces and topological systems*, submitted. - J. T. Denniston, A. Melton, S. E. Rodabaugh, and S. Solovyov,
*Classifying categories for many-valued mathematics and topological systems*, submitted.