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FUZZY GOULD INTEGRABILITY ON ATOMS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 8، شماره 3، دی 2011، صفحه 113-124 اصل مقاله (387.15 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2011.290 | ||
| نویسنده | ||
| Alina Cristiana Gavrilut* | ||
| Faculty of Mathematics, Al. I. Cuza University, Iasi, Romania | ||
| چکیده | ||
| In this paper we study the relationships existing between total measurability in variation and Gould type fuzzy integrability (introduced and studied in [21]), giving a special interest on their behaviour on atoms and on finite unions of disjoint atoms. We also establish that any continuous real valued function defined on a compact metric space is totally measurable in the variation of a regular finitely purely atomic multisubmeasure and it is also Gould integrable with respect to regular finitely purely atomic multisubmeasures. | ||
| کلیدواژهها | ||
| Fuzzy Gould integral؛ Totally measurability (in variation)؛ (Multi) (sub) measure؛ Atom؛ Finitely purely atomic؛ Regularity | ||
| مراجع | ||
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[1] M. Abbas, M. Imdad and D. Gopal, "-weak contractions in fuzzy metric spaces, Iranian Journal of Fuzzy Systems, in print. [2] M. Alimohammady, E. Ekici, S. Jafari and M. Roohi, On fuzzy upper and lower contra- continuous multifunctions, Iranian Journal of Fuzzy Systems, in print. [3] I. Altun, Some xed point theorems for single and multivalued mappings on ordered non- archimedean fuzzy metric spaces, Iranian Journal of Fuzzy Systems, 7(1) (2010), 91-96. [4] I. Chitescu, Finitely purely atomic measures and Lp-spaces, An. Univ. Bucuresti St. Natur., 24 (1975), 23-29. [5] I. Chitescu, Finitely purely atomic measures: coincidence and rigidity properties, Rend. Circ. Mat. Palermo(2), 50(3) (2001), 455-476. [6] I. Dobrakov, On submeasures, I, Dissertationes Math., 112 (1974), 5-35. [7] L. Drewnowski, Topological rings of sets, continuous set functions, Integration, I, II, III, Bull. Acad. Polon. Sci. Ser. Math. Astron. Phys., 20 (1972), 269-286. [8] A. Gavrilut, A Gould type integral with respect to a multisubmeasure, Math. Slovaca, 58(1) (2008), 1-20. [9] A. Gavrilut, On some properties of the Gould type integral with respect to a multisubmeasure, An. St. Univ. Iasi, 52(1) (2006), 177-194. [10] A. Gavrilut, Non-atomicity and the Darboux property for fuzzy and non-fuzzy Borel/Baire multivalued set functions, Fuzzy Sets and Systems, 160 (2009), 1308-1317. [11] A. Gavrilut, Regularity and autocontinuity of set multifunctions, Fuzzy Sets and Systems, 160 (2009), 681-693. [12] A. Gavrilut, A Lusin type theorem for regular monotone uniformly autocontinuous set mul- tifunctions, Fuzzy Sets and Systems, 161 (2010), 2909-2918. [13] A. Gavrilut and A. Croitoru, Non-atomicity for fuzzy and non-fuzzy multivalued set functions, Fuzzy Sets and Systems, 160 (2009), 2106-2116. [14] A. Gavrilut and A. Petcu, A Gould type integral with respect to a submeasure, An. St. Univ. Iasi, Tomul LIII, 2 (2007), 351-368. [15] A. Gavrilut and A. Petcu, Some properties of the Gould type integral with respect to a submeasure, Bul. Inst. Pol. Iasi, LIII (LVII), 5 (2007), 121-131. [16] G. G. Gould, On integration of vector-valued measures, Proc. London Math. Soc., 15 (1965), 193-225. [17] S. Hu and N. S. Papageorgiou, Handbook of multivalued analysis, Kluwer Acad. Publ., Dor- drecht, I (1997). [18] E. Pap, Null-additive set functions, Kluwer Academic Publishers, Dordrecht-Boston-London, 1995. [19] Q. Jiang and H. Suzuki, Fuzzy measures on metric spaces, Fuzzy Sets and Systems, 83 (1996), 99-106. [20] A. Precupanu and A. Croitoru, A Gould type integral with respect to a multimeasure, I, An. St. Univ. Iasi, 48 (2002), 165-200. [21] A. Precupanu, A. Gavrilut and A. Croitoru, A fuzzy Gould type integral, Fuzzy Sets and Systems, 161 (2010), 661-680. [22] H. Suzuki, Atoms of fuzzy measures and fuzzy integrals, Fuzzy Sets and Systems, 41 (1991), 329-342. [23] C. Wu and S. Bo, Pseudo-atoms of fuzzy and non-fuzzy measures, Fuzzy Sets and Systems, 158 (2007), 1258-1272. | ||
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