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29 results on '"Jočić, Dragan"'

11. Distributivity of a Uni-nullnorm with Continuous and Archimedean Underlying T-norms and T-conorms Over an Arbitrary Uninorm.

Author

Jočić, Dragan and Štajner-Papuga, Ivana

Subjects
*DECISION theory, *FUZZY sets, *AGGREGATION operators, *MEASURE theory, *TRIANGULAR norms, *FUZZY logic
Abstract

The issue of distributivity of aggregation operators is crucial for many different areas such as fuzzy sets and fuzzy logic, pseudo-analysis and measure theory, and particulary in the decision making theory. The problem of distributivity of an operator form a special class of uni-nullnorms over a general uninorm is being addressed through this paper. The class in question consists of uni-nullnorms with continuous and Archimedean underlying t-norms and t-conorms, and the results presented here are a natural continuation and extension of some previous works with an emphasis on a much wider class of uninorms as inner operators. [ABSTRACT FROM AUTHOR]

Published
2023
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21. Slabe konvergencije pseudoverovatnoća i intervalno-vrednosnih pseudoverovatnoća

Author

Grbić, Tatjana, Medić, Slavica, Čapko, Darko, Štajner-Papuga, Ivana, Jočić, Dragan, Buhmiler, Sandra, Duraković, Nataša, Grbić, Tatjana, Medić, Slavica, Čapko, Darko, Štajner-Papuga, Ivana, Jočić, Dragan, Buhmiler, Sandra, and Duraković, Nataša

Abstract

Slaba konvergencija niza pseudoverovatnoća i niza intervalno-vrednosnih pseudoverovatnoća je izučavana.Pokazani su ekvivalentni uslovi g-slabe konvergencije niza pseudoverovatnoća i niza intervalno-vrednosnih pseudoverovatnoća., Weak convergence of a sequence of pseudo-probability measures and a sequence of interval-valued pseudo- probability measures is investigated.The equivalent conditions of g-weak convergence of a sequence of pseudo-probability measures and a sequence of interval-valued pseudo-probability measures are proven.

Published
2021

26. Distributivnost operacija agregacije i njihova primena u teoriji korisnosti

Author

Jočić, Dragan, Štajner-Papuga, Ivana, Marković, Petar, Takači, Arpad, Perović, Aleksandar, and Levajković, Tijana

Subjects
aggregation operator, t-norm, t-conorm, GM-operation,uninorm, nullnorm, distributivity, conditional distributivity, utility function, distributivity, uslovna distributivnost, uninorma, t-norm, utility function, conditional distributivity, GM-operation, operacija agregacije, t-konorma, nulanorma, GM-operacija, nullnorm, operacija agregacije, t-norma, t-konorma, GM-operacija, uninorma, nulanorma, distributivnost, uslovna distributivnost, funkcija korisnosti, t-norma, funkcija korisnosti, distributivnost, aggregation operator, uninorm, t-conorm
Abstract

Disertacija je posvećena rešavanju jednačina distributivnosti gdenepoznate funkcije pripadaju nekim poznatim klasama operacija agregacijei primeni dobijenih rešenja u teoriji korisnosti. Dobijeni rezultati se generalno mogu podeliti u tri grupe. Prvu grupu čine rezultati iz Glave 2 dobijeni rešavanjem jednačina distributivnosti između GM-operacija agregacije ioslabljenih uninormi, GM-operacija agregacije i oslabljenih nulanormi, kao iGM-operacija agregacije i operacija agregacije bez neutralnog i absorbujućegelementa. Druga grupa rezultata, takođe iz Glave 2, je dobijena rešavanjemjednačina uslovne (oslabljene) distributivnosi neprekidne nulanorme u odnosuna neprekidnu t-konormu, i neprekidne nulanonorme u odnosu na uninorme izklasa Umin ∪Umax. Treća grupa rezultata (Glava 3) je proistekla iz primene dobijenih rezultata o uslovoj distributivnosti nulanorme u odnosu na t-konormuu teoriji korisnosti., This dissertation is devoted to solving distributivity equations involving some well-known classes of aggregation operators, and applicationthe obtained results to utility theory. In general, the obtained results canbe divided into three groups. The first group are results from Chapter 2 obtained by solving distributivity equations between GM-aggregation operatorsand relaxed nullnorm, GM-aggregation operators and relaxed uninorms, aswell as GM-aggregation operators and aggregation operators without neutraland absorbing element. The second group are results, also from Chapter 2,obtained by solving conditional (relaxed) distributivity of continuous nullnorm with respect to continuous t-conorm, as well as continuous nullnormwith respect to uninorms from the classes Umin ∪ Umax. The third group areresults (Chapter 3) arising from the application results on conditional distributivity of nullnorm with respect to t-conorm in utility theory.

Published
2015

27. Distributivnost operacija agregacije i njihova primena u teoriji korisnosti

Author

Štajner-Papuga, Ivana, Marković, Petar, Takači, Arpad, Perović, Aleksandar, Levajković, Tijana, Jočić, Dragan, Štajner-Papuga, Ivana, Marković, Petar, Takači, Arpad, Perović, Aleksandar, Levajković, Tijana, and Jočić, Dragan

Abstract

Disertacija je posvećena rešavanju jednačina distributivnosti gde nepoznate funkcije pripadaju nekim poznatim klasama operacija agregacije i primeni dobijenih rešenja u teoriji korisnosti. Dobijeni rezultati se generalno mogu podeliti u tri grupe. Prvu grupu čine rezultati iz Glave 2 dobijeni rešavanjem jednačina distributivnosti između GM-operacija agregacije i oslabljenih uninormi, GM-operacija agregacije i oslabljenih nulanormi, kao i GM-operacija agregacije i operacija agregacije bez neutralnog i absorbujućeg elementa. Druga grupa rezultata, takođe iz Glave 2, je dobijena rešavanjem jednačina uslovne (oslabljene) distributivnosi neprekidne nulanorme u odnosu na neprekidnu t-konormu, i neprekidne nulanonorme u odnosu na uninorme iz klasa Umin ∪Umax. Treća grupa rezultata (Glava 3) je proistekla iz primene dobijenih rezultata o uslovoj distributivnosti nulanorme u odnosu na t-konormu u teoriji korisnosti., This dissertation is devoted to solving distributivity equations involving some well-known classes of aggregation operators, and application the obtained results to utility theory. In general, the obtained results can be divided into three groups. The first group are results from Chapter 2 obtained by solving distributivity equations between GM-aggregation operators and relaxed nullnorm, GM-aggregation operators and relaxed uninorms, as well as GM-aggregation operators and aggregation operators without neutral and absorbing element. The second group are results, also from Chapter 2, obtained by solving conditional (relaxed) distributivity of continuous nullnorm with respect to continuous t-conorm, as well as continuous nullnorm with respect to uninorms from the classes Umin ∪ Umax. The third group are results (Chapter 3) arising from the application results on conditional distributivity of nullnorm with respect to t-conorm in utility theory.

Published
2015

29. Weak convergence of pseudo-probability measures and interval-valued pseudo-probability measures

Author

Duraković, Nataša, Grbić, Tatjana, Medić, Slavica, Čapko, Darko, Štajner-Papuga, Ivana, Jočić, Dragan, and Buhmiler, Sandra

Subjects
Poluprsten, pseudoverovatnoća, intervalno-vrednosna pseudoverovatnoća, g-slaba konvergencija, Semiring, pseudo-probability measure, intervalvalued pseudo-probability measure, g-weak convergence
Abstract

Slaba konvergencija niza pseudoverovatnoća iniza intervalno-vrednosnih pseudoverovatnoćaje izučavana.Pokazani su ekvivalentni uslovig-slabe konvergencije niza pseudoverovatnoća iniza intervalno-vrednosnih pseudoverovatnoća., Weak convergence of a sequence of pseudo-probabilitymeasures and a sequence of interval-valued pseudo-probability measures is investigated.The equivalent conditions of g-weak convergence of a sequence of pseudo-probability measures and a sequence of interval-valuedpseudo-probability measures are proven.

Published
2021

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