non-monotonic fuzzy measures;
total Phi-variations;
Phi-bounded variations;
a convex function;
Banach spaces;
D O I:
10.1016/0165-0114(95)00368-1
中图分类号:
TP301 [理论、方法];
学科分类号:
081202 ;
摘要:
This paper discuss some properties of non-monotonic fuzzy measures of Phi-bounded variation. We show that there is an example of Phi such that BV(X,F) is a proper subspace of Phi BV(X,F). And also, we prove that Phi BV(X,F) is a real Banach space. Furthermore, we investigated some properties of non-monotonic fuzzy Phi-measures.
机构:
Budapest Univ Technol & Econ, Dept Geotech, H-1117 Budapest, Hungary
Szent Istvan Univ, Ybl Miklos Civil Eng Fac, Budapest, HungaryBudapest Univ Technol & Econ, Dept Geotech, H-1117 Budapest, Hungary
Imre, Emoke
Rozsa, Pal
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机构:
Budapest Univ Technol & Econ, Dept Comp Sci & Informat Theory, H-1117 Budapest, HungaryBudapest Univ Technol & Econ, Dept Geotech, H-1117 Budapest, Hungary
机构:
Univ Burgos, Int Res Ctr Crit Raw Mat ICCRAM, Plaza Misael Banuelos S-N, Burgos 09001, Spain
Univ Burgos, Adv Mat Nucl Technol & Appl Bio Nanotechnol, Consolidated Res Unit UIC 154, Hosp Rey S-N, Burgos 09001, Castilla Y Leon, SpainUniv Cagliari, Dipartimento Ingn Meccan Chim & Mat, Via Marengo 2, I-09123 Cagliari, Italy