Transversal Sets
Mathematica Moravica, Tome 8 (2004) no. 2.

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This paper presents a new concept of sets which we call it transversal (upper, lower or medial) sets. We introduce this concept as a natural extension of ordinary, fuzzy and transversal fuzzy sets. Transversal sets are a new way in the nonlinear analysis. Applications in minimax theory, algebra, topology, analysis, games theory, algebraic equations theory, ideal theory of BCC-algebras, theory of measures and integration, and convex analysis are considered. First time in history of the theory sets, we give a technology of an arbitrary set, in the sense that every set has ”three sides” which are invisible but they de facto existing.
Mots-clés : Transversal set, transversal (upper, lower or medial) fuzzy set, grade of membership, fuzzy set, minimax equality, minimax principle, statement of separation, games theory, convex transversal (upper, lower or medial) set, transversal (upper, lower or medial), BCC-ideal, BCC-algebra, Borsuk-Ulam theorem, transversal integrals, transversal points, zeros of algebraic equations, transversal logic, transversal topological spaces 
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     author = {Milan Taskovi\'c},
     title = {Transversal {Sets}},
     journal = {Mathematica Moravica},
     pages = {53 - 93},
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     volume = {8},
     number = {2},
     year = {2004},
     url = {https://geodesic-test.mathdoc.fr/item/MM3_2004_8_2_a4/}
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Milan Tasković. Transversal Sets. Mathematica Moravica, Tome 8 (2004) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2004_8_2_a4/