Fuzzy dissimilarity and distance functionsTsinghua University Press - - 2009
Ismat Beg, Samina Ashraf
ε-fuzzy dissimilarity relation is defined by using the concept of ε- fuzzy equivalence relation and a strong negator. It is proved that the ε- fuzzy dissimilarity relation so defined satisfies inequalities resembling to generalized triangle inequality.
A risk approach by credibility theoryTsinghua University Press - Tập 5 - Trang 399-416 - 2013
Irina Georgescu, Jani Kinnunen
This paper attempts to treat some topics of risk theory by means of credibility theory. We study the risk aversion of an agent faced with a situation of uncertainty represented by a discrete fuzzy variable, the relationship between stochastic dominance and credibilistic dominance, and an index of riskiness of discrete credibilistic gambles. In the framework of an optimal saving credibilistic model...... hiện toàn bộ
On the lattice of stratified principal L-topologiesTsinghua University Press - Tập 5 - Trang 351-358 - 2013
Raji George, T. P. Johnson
We investigate the lattice structure of the set of all stratified principal L-topologies on a given set X. It proves that the lattice of stratified principal L-topologies S p(X) has atoms and dual atoms if and only if L has atoms and dual atoms respectively. Moreover, it is complete and semi-complemented. We also discuss some other properties of the lattice.
Linear programming with triangular fuzzy numbers—A case study in a finance and credit instituteTsinghua University Press - Tập 5 - Trang 295-315 - 2013
S. H. Nasseri, E. Behmanesh
The objective of this paper is to deal with a kind of fuzzy linear programming problem involving triangular fuzzy numbers. Then some interesting and fundamental results are achieved which in turn lead to a solution of fuzzy linear programming models without converting the problems to the crisp linear programming models. Finally, the theoretical results are also supported by a real case study in a ...... hiện toàn bộ
Weighted portfolio selection models based on possibility theoryTsinghua University Press - Tập 1 - Trang 115-127 - 2009
Wei Chen
In this paper, we discuss portfolio selection problem in a fuzzy uncertain environment. Based on the Fullér’s and Zhang’s notations, we discuss some properties of weighted lower and upper possibilistic means and variances as in probability theory. We further present two weighted possibilistic portfolio selection models with bounded constraint, which can be transformed to linear programming problem...... hiện toàn bộ