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Volumn 106, Issue , 2019, Pages 146-154

Chebyshev inequality for q-integrals

Author keywords

Capacity; Chebyshev inequality; Q cointegrals; Q integrals

Indexed keywords

ARTIFICIAL INTELLIGENCE;

EID: 85060285065     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2019.01.004     Document Type: Article
Times cited : (4)

References (31)
  • 1
    • 71549161782 scopus 로고    scopus 로고
    • New general extensions of Chebyshev type inequalities for Sugeno integrals
    • Agahi, H., Mesiar, R., Ouyang, Y., New general extensions of Chebyshev type inequalities for Sugeno integrals. Int. J. Approx. Reason. 51 (2009), 135–140.
    • (2009) Int. J. Approx. Reason. , vol.51 , pp. 135-140
    • Agahi, H.1    Mesiar, R.2    Ouyang, Y.3
  • 2
    • 73049087410 scopus 로고    scopus 로고
    • General Minkowski type inequalities for Sugeno integrals
    • Agahi, H., Mesiar, R., Ouyang, Y., General Minkowski type inequalities for Sugeno integrals. Fuzzy Sets Syst. 161 (2010), 708–715.
    • (2010) Fuzzy Sets Syst. , vol.161 , pp. 708-715
    • Agahi, H.1    Mesiar, R.2    Ouyang, Y.3
  • 3
    • 0042348878 scopus 로고
    • Integral inequalities of Čebyšev type
    • Beesack, P.R., Pečrić, J.E., Integral inequalities of Čebyšev type. J. Math. Anal. Appl. 111 (1985), 643–659.
    • (1985) J. Math. Anal. Appl. , vol.111 , pp. 643-659
    • Beesack, P.R.1    Pečrić, J.E.2
  • 4
    • 0000748168 scopus 로고
    • Theory of capacities
    • Choquet, G., Theory of capacities. Ann. Inst. Fourier 5 (1953), 131–295.
    • (1953) Ann. Inst. Fourier , vol.5 , pp. 131-295
    • Choquet, G.1
  • 5
    • 84975138829 scopus 로고    scopus 로고
    • Connecting the linguistic hierarchy and the numerical scale for the 2-tuple linguistic model and its use to deal with hesitant unbalanced linguistic information
    • Dong, Y., Li, C., Herrera, F., Connecting the linguistic hierarchy and the numerical scale for the 2-tuple linguistic model and its use to deal with hesitant unbalanced linguistic information. Inf. Sci. 367–368 (2016), 259–278.
    • (2016) Inf. Sci. , vol.367-368 , pp. 259-278
    • Dong, Y.1    Li, C.2    Herrera, F.3
  • 6
    • 84949660214 scopus 로고    scopus 로고
    • Residuated variants of Sugeno integrals: towards new weighting schemes for qualitative aggregation methods
    • Dubois, D., Prade, H., Rico, A., Residuated variants of Sugeno integrals: towards new weighting schemes for qualitative aggregation methods. Inf. Sci. 329 (2016), 765–781.
    • (2016) Inf. Sci. , vol.329 , pp. 765-781
    • Dubois, D.1    Prade, H.2    Rico, A.3
  • 7
    • 85021197295 scopus 로고    scopus 로고
    • Generalized qualitative Sugeno integrals
    • Dubois, D., Prade, H., Rico, A., Teheux, B., Generalized qualitative Sugeno integrals. Inf. Sci. 415–416 (2017), 429–445.
    • (2017) Inf. Sci. , vol.415-416 , pp. 429-445
    • Dubois, D.1    Prade, H.2    Rico, A.3    Teheux, B.4
  • 8
  • 9
    • 76849090447 scopus 로고    scopus 로고
    • A universal integral as common frame for Choquet and Sugeno integral
    • Klement, E.P., Mesiar, R., Pap, E., A universal integral as common frame for Choquet and Sugeno integral. IEEE Trans. Fuzzy Syst. 18:1 (2010), 178–187.
    • (2010) IEEE Trans. Fuzzy Syst. , vol.18 , Issue.1 , pp. 178-187
    • Klement, E.P.1    Mesiar, R.2    Pap, E.3
  • 11
    • 34250630504 scopus 로고    scopus 로고
    • A Chebyshev type inequality for fuzzy integrals
    • Flores-Franulič, A., Román-Flores, H., A Chebyshev type inequality for fuzzy integrals. Appl. Math. Comput. 190 (2007), 1178–1184.
    • (2007) Appl. Math. Comput. , vol.190 , pp. 1178-1184
    • Flores-Franulič, A.1    Román-Flores, H.2
  • 12
    • 0003397905 scopus 로고
    • Fuzzy Preference Modelling and Multicriteria Decision Support
    • Kluwer Academic Publishers Dordrecht
    • Fodor, J.C., Roubens, M., Fuzzy Preference Modelling and Multicriteria Decision Support. 1994, Kluwer Academic Publishers, Dordrecht.
    • (1994)
    • Fodor, J.C.1    Roubens, M.2
  • 13
    • 80052755632 scopus 로고    scopus 로고
    • Chebyshev type inequality for Choquet integral and comonotonicity
    • Girotto, B., Holzer, S., Chebyshev type inequality for Choquet integral and comonotonicity. Int. J. Approx. Reason. 52 (2011), 1118–1123.
    • (2011) Int. J. Approx. Reason. , vol.52 , pp. 1118-1123
    • Girotto, B.1    Holzer, S.2
  • 14
    • 85060291371 scopus 로고    scopus 로고
    • A new characterization of the discrete Sugeno integral
    • Halaš, R., Mesiar, R., Pócs, J., A new characterization of the discrete Sugeno integral. Inf. Fusion 000 (2015), 1–3.
    • (2015) Inf. Fusion , pp. 1-3
    • Halaš, R.1    Mesiar, R.2    Pócs, J.3
  • 15
    • 0003543733 scopus 로고
    • Inequalities
    • Cambridge University Press New York
    • Hardy, G.H., Littlewood, J.E., Pólya, G., Inequalities. 1934, Cambridge University Press, New York.
    • (1934)
    • Hardy, G.H.1    Littlewood, J.E.2    Pólya, G.3
  • 16
    • 84908575936 scopus 로고    scopus 로고
    • Constructing Choquet integral-based operators that generalize weighted means and owa operators
    • Llamazares, B., Constructing Choquet integral-based operators that generalize weighted means and owa operators. Inf. Fusion 23 (2015), 131–138.
    • (2015) Inf. Fusion , vol.23 , pp. 131-138
    • Llamazares, B.1
  • 17
    • 54049106919 scopus 로고    scopus 로고
    • General Chebyshev type inequalities for Sugeno integrals
    • Mesiar, R., Ouyang, Y., General Chebyshev type inequalities for Sugeno integrals. Fuzzy Sets Syst. 160 (2009), 58–64.
    • (2009) Fuzzy Sets Syst. , vol.160 , pp. 58-64
    • Mesiar, R.1    Ouyang, Y.2
  • 19
    • 70349503871 scopus 로고    scopus 로고
    • On the Chebyshev type inequality for seminormed fuzzy integral
    • Ouyang, Y., Mesiar, R., On the Chebyshev type inequality for seminormed fuzzy integral. Appl. Math. Lett. 22 (2009), 1810–1815.
    • (2009) Appl. Math. Lett. , vol.22 , pp. 1810-1815
    • Ouyang, Y.1    Mesiar, R.2
  • 21
    • 64849100759 scopus 로고    scopus 로고
    • On the comonotonic-⋆-property for Sugeno integral
    • Ouyang, Y., Mesiar, R., Li, J., On the comonotonic-⋆-property for Sugeno integral. Appl. Math. Comput. 211 (2009), 450–458.
    • (2009) Appl. Math. Comput. , vol.211 , pp. 450-458
    • Ouyang, Y.1    Mesiar, R.2    Li, J.3
  • 22
    • 77955279705 scopus 로고    scopus 로고
    • An inequality related to Minkowski type for Sugeno integrals
    • Ouyang, Y., Mesiar, R., Agahi, H., An inequality related to Minkowski type for Sugeno integrals. Inf. Sci. 180 (2010), 2793–2801.
    • (2010) Inf. Sci. , vol.180 , pp. 2793-2801
    • Ouyang, Y.1    Mesiar, R.2    Agahi, H.3
  • 23
    • 48849105172 scopus 로고    scopus 로고
    • Extensions of certain integral inequalities on time scales
    • Özkan, U.M., Sarikaya, M.Z., Yildirim, H., Extensions of certain integral inequalities on time scales. Appl. Math. Lett. 21 (2008), 993–1000.
    • (2008) Appl. Math. Lett. , vol.21 , pp. 993-1000
    • Özkan, U.M.1    Sarikaya, M.Z.2    Yildirim, H.3
  • 25
    • 33748427828 scopus 로고
    • Three economic applications of Chebyshev's algebraic inequality
    • Simonovits, A., Three economic applications of Chebyshev's algebraic inequality. Math. Soc. Sci. 30 (1995), 207–220.
    • (1995) Math. Soc. Sci. , vol.30 , pp. 207-220
    • Simonovits, A.1
  • 27
    • 0003591772 scopus 로고
    • Theory of Fuzzy Integrals and Its Applications
    • Ph.D. thesis Tokyo Institute of Technology
    • Sugeno, M., Theory of Fuzzy Integrals and Its Applications. Ph.D. thesis, 1974, Tokyo Institute of Technology.
    • (1974)
    • Sugeno, M.1
  • 28
    • 33748422849 scopus 로고    scopus 로고
    • Chebyshev's algebraic inequality and comparative statics under uncertainty
    • Wagener, A., Chebyshev's algebraic inequality and comparative statics under uncertainty. Math. Soc. Sci. 52 (2006), 217–221.
    • (2006) Math. Soc. Sci. , vol.52 , pp. 217-221
    • Wagener, A.1
  • 29
    • 51149093140 scopus 로고    scopus 로고
    • Generalized Measure Theory
    • Springer New York
    • Wang, Z., Klir, G.J., Generalized Measure Theory. 2009, Springer, New York.
    • (2009)
    • Wang, Z.1    Klir, G.J.2
  • 30
    • 0023855863 scopus 로고
    • On ordered weighted averaging aggregation operators in multicriteria decision making
    • Yager, R.R., On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Trans. Syst. Man Cybern. 18 (1988), 183–190.
    • (1988) IEEE Trans. Syst. Man Cybern. , vol.18 , pp. 183-190
    • Yager, R.R.1
  • 31
    • 84889084097 scopus 로고    scopus 로고
    • A generalized framework for mean aggregation: toward the modeling of cognitive aspects
    • Yager, R.R., Alajlan, N., A generalized framework for mean aggregation: toward the modeling of cognitive aspects. Inf. Fusion 17 (2014), 65–73.
    • (2014) Inf. Fusion , vol.17 , pp. 65-73
    • Yager, R.R.1    Alajlan, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.