Endre Pap | University Singidunum, Belgrade, Serbia (original) (raw)
Papers by Endre Pap
Studies in Fuzziness and Soft Computing, 2000
Acta Mathematica Hungarica, Mar 14, 2015
We give an improvement of Theorem 1 from [2] with a quite different approach, which enable us to ... more We give an improvement of Theorem 1 from [2] with a quite different approach, which enable us to prove that the fixed point is also globally attractive. In Theorem 2.11 a further generalization is obtained for a complete Menger space (S,F,T), where T belongs to a more general class of continuous t-norms than in the previous case where T=T M
2008 6th International Symposium on Intelligent Systems and Informatics, 2008
ABSTRACT In this paper we introduce a concept of generated chain variation of a set function m wi... more ABSTRACT In this paper we introduce a concept of generated chain variation of a set function m with values in [-1, 1]. We extend the notion of the fuzzy integral for functions with values in [-1, 1]. Using these results and results proven in, we give a pseudo-difference representation of a generated Choquet integral with respect to m.
Advances in Intelligent and Soft Computing, 2011
The notion of Lehrer-concave integral is generalized taking instead of the usual arithmetical ope... more The notion of Lehrer-concave integral is generalized taking instead of the usual arithmetical operations of addition and multiplication of reals more general real operations called pseudo-addition and pseudomultiplication.
2007 5th International Symposium on Intelligent Systems and Informatics, 2007
ABSTRACT Influence of the selected mobility measure on the order of transition matrices is presen... more ABSTRACT Influence of the selected mobility measure on the order of transition matrices is presented. A semiring is formed over the set of all bistochastic matrices in which the order is induced by mobility measure which satisfies relaxed Shorrocks monotonicity condition and all remaining Shorrocks axioms.
2014 IEEE 12th International Symposium on Intelligent Systems and Informatics (SISY), 2014
2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, 2012
ABSTRACT The integrals based on non-additive measures, e.g. Choquet, Sugeno play important roles ... more ABSTRACT The integrals based on non-additive measures, e.g. Choquet, Sugeno play important roles in several practical areas. Universal integral as generalization of Choquet and Sugeno integrals has been recently proposed. Since the Jensen inequality for Lebesgue integral has applications in many areas, in this paper, the corresponding inequality related to the extremal universal integral as generalization of Choquet, Shilkret and seminormed fuzzy integrals is observed.
2009 7th International Symposium on Intelligent Systems and Informatics, 2009
ABSTRACT There are considered two cases of the real semiring with pseudo-operations: one, when ps... more ABSTRACT There are considered two cases of the real semiring with pseudo-operations: one, when pseudo-operations are defined by monotone and continuous function g (then the pseudo-integral reduces on (g-integral), and the second semiring ([a, b], max, odot), where odot is generated. There are proven generalizations of the Chebyshev's inequality for the both cases of the pseudo-integral.
Topics in Intelligent Engineering and Informatics, 2013
Nonlinear Analysis: Theory, Methods & Applications, 1998
Rendiconti del Circolo Matematico di Palermo, 1996
Using V. Ficker’s and P. Capek’s algebraic approach by ideals a Lebesgue decomposition theorem fo... more Using V. Ficker’s and P. Capek’s algebraic approach by ideals a Lebesgue decomposition theorem for a wide class of non-additive set functions called null-additive set functions is obtained. In special cases decompositions theorems for ⊕-decomposable measures andk-triangular set functions are obtained.
2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, 2012
ABSTRACT
2011 IEEE 9th International Symposium on Intelligent Systems and Informatics, 2011
In this paper it is introduced a new mathematical model of basic planar imprecise geometric objec... more In this paper it is introduced a new mathematical model of basic planar imprecise geometric objects: fuzzy line, fuzzy triangle and fuzzy circle, as well as basic spatial relations: coincidence, between and collinear. Models are implemented as an extension of the PostGIS spatial data managing system in Pl/ PgSQL language. I. INTRODUCTION Spatial data managing systems, such as PostGIS, Oracle
Topics in Intelligent Engineering and Informatics, 2013
ABSTRACT In this paper, we investigate the ordering on a semiring of monotone doubly stochastic t... more ABSTRACT In this paper, we investigate the ordering on a semiring of monotone doubly stochastic transition matrices in Shorrocks’ sense. We identify a class of an equilibrium index of mobility that induces the full ordering in a semiring, while this ordering is compatible with Dardanoni’s partial ordering on a set of monotone primitive irreducible doubly stochastic matrices.
Studies in Fuzziness and Soft Computing, 2000
Acta Mathematica Hungarica, Mar 14, 2015
We give an improvement of Theorem 1 from [2] with a quite different approach, which enable us to ... more We give an improvement of Theorem 1 from [2] with a quite different approach, which enable us to prove that the fixed point is also globally attractive. In Theorem 2.11 a further generalization is obtained for a complete Menger space (S,F,T), where T belongs to a more general class of continuous t-norms than in the previous case where T=T M
2008 6th International Symposium on Intelligent Systems and Informatics, 2008
ABSTRACT In this paper we introduce a concept of generated chain variation of a set function m wi... more ABSTRACT In this paper we introduce a concept of generated chain variation of a set function m with values in [-1, 1]. We extend the notion of the fuzzy integral for functions with values in [-1, 1]. Using these results and results proven in, we give a pseudo-difference representation of a generated Choquet integral with respect to m.
Advances in Intelligent and Soft Computing, 2011
The notion of Lehrer-concave integral is generalized taking instead of the usual arithmetical ope... more The notion of Lehrer-concave integral is generalized taking instead of the usual arithmetical operations of addition and multiplication of reals more general real operations called pseudo-addition and pseudomultiplication.
2007 5th International Symposium on Intelligent Systems and Informatics, 2007
ABSTRACT Influence of the selected mobility measure on the order of transition matrices is presen... more ABSTRACT Influence of the selected mobility measure on the order of transition matrices is presented. A semiring is formed over the set of all bistochastic matrices in which the order is induced by mobility measure which satisfies relaxed Shorrocks monotonicity condition and all remaining Shorrocks axioms.
2014 IEEE 12th International Symposium on Intelligent Systems and Informatics (SISY), 2014
2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, 2012
ABSTRACT The integrals based on non-additive measures, e.g. Choquet, Sugeno play important roles ... more ABSTRACT The integrals based on non-additive measures, e.g. Choquet, Sugeno play important roles in several practical areas. Universal integral as generalization of Choquet and Sugeno integrals has been recently proposed. Since the Jensen inequality for Lebesgue integral has applications in many areas, in this paper, the corresponding inequality related to the extremal universal integral as generalization of Choquet, Shilkret and seminormed fuzzy integrals is observed.
2009 7th International Symposium on Intelligent Systems and Informatics, 2009
ABSTRACT There are considered two cases of the real semiring with pseudo-operations: one, when ps... more ABSTRACT There are considered two cases of the real semiring with pseudo-operations: one, when pseudo-operations are defined by monotone and continuous function g (then the pseudo-integral reduces on (g-integral), and the second semiring ([a, b], max, odot), where odot is generated. There are proven generalizations of the Chebyshev's inequality for the both cases of the pseudo-integral.
Topics in Intelligent Engineering and Informatics, 2013
Nonlinear Analysis: Theory, Methods & Applications, 1998
Rendiconti del Circolo Matematico di Palermo, 1996
Using V. Ficker’s and P. Capek’s algebraic approach by ideals a Lebesgue decomposition theorem fo... more Using V. Ficker’s and P. Capek’s algebraic approach by ideals a Lebesgue decomposition theorem for a wide class of non-additive set functions called null-additive set functions is obtained. In special cases decompositions theorems for ⊕-decomposable measures andk-triangular set functions are obtained.
2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, 2012
ABSTRACT
2011 IEEE 9th International Symposium on Intelligent Systems and Informatics, 2011
In this paper it is introduced a new mathematical model of basic planar imprecise geometric objec... more In this paper it is introduced a new mathematical model of basic planar imprecise geometric objects: fuzzy line, fuzzy triangle and fuzzy circle, as well as basic spatial relations: coincidence, between and collinear. Models are implemented as an extension of the PostGIS spatial data managing system in Pl/ PgSQL language. I. INTRODUCTION Spatial data managing systems, such as PostGIS, Oracle
Topics in Intelligent Engineering and Informatics, 2013
ABSTRACT In this paper, we investigate the ordering on a semiring of monotone doubly stochastic t... more ABSTRACT In this paper, we investigate the ordering on a semiring of monotone doubly stochastic transition matrices in Shorrocks’ sense. We identify a class of an equilibrium index of mobility that induces the full ordering in a semiring, while this ordering is compatible with Dardanoni’s partial ordering on a set of monotone primitive irreducible doubly stochastic matrices.