Download:
|
by Gert De Cooman, Guangquan Zhang, Etienne, E. Kerre
http://ippserv.rug.ac.be/~gert/publications/latint.ps.gz
Add To MetaCart
Abstract:
Abstract. We consider the denition of possibility measures on complete lattices rather than on complete Boolean algebras of sets. We give a necessary and sucient condition for the extendability of any mapping to such a possibility measure. We also associate two types of integrals with these possibility measures, and discuss some of their more important properties, amongst which a monotone convergence theorem. 1.
Citations
|
724
|
Introduction to lattices and order
– Davey, Priestley
- 1990
|
|
250
|
Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems 1
– Zadeh
- 1978
|
|
156
|
Possibilistic logic
– Dubois, Lang, et al.
- 1994
|
|
87
|
Fuzzy Measure Theory
– Wang, Klir
- 1992
|
|
26
|
Théorie des possibilités
– Dubois, Prade
- 1985
|
|
15
|
Possibility theory III: possibilistic independence
– Cooman
- 1997
|
|
14
|
Possibility theory I: the measure- and integral-theoretic groundwork
– Cooman
- 1997
|
|
14
|
Possibility theory II: conditional possibility
– Cooman
- 1997
|
|
13
|
Possibility theory: an integral theoretic approach. Fuzzy Sets and Systems
– Cooman, Kerre, et al.
- 1992
|
|
12
|
On the Extension of P-Consistent Mappings
– Boyen, Cooman, et al.
- 1995
|
|
11
|
Fuzzy contactability and fuzzy variables, Fuzzy Sets and Systems 8
– Wang
- 1982
|
|
10
|
Possibility and necessity integrals
– Cooman, Kerre
- 1996
|
|
8
|
Fuzzy contactability and fuzzy variables
– Wang
- 1982
|
|
7
|
Lattice Theory (A.M.S
– Birkhoff
- 1967
|
|
6
|
Possibility and necessity integrals. Fuzzy Sets and Systems
– Cooman, Kerre
- 1996
|
|
6
|
Ample fields
– Cooman, Kerre
- 1993
|
|
5
|
Extension of possibility measures defined on an arbitrary nonempty class of sets
– Wang
- 1985
|
|
2
|
Lattice Theory. A.M.S
– Birkho
- 1967
|
|
2
|
Ample Simon Stevin
– Cooman, Kerre
- 1993
|
|
2
|
Extension of possibility measures de on an arbitrary nonempty class of sets
– Wang
- 1985
|
|
1
|
Characterisation of possibility measures of fuzzy events using Markov kernels. Fuzzy Sets and Systems
– Mesiar
- 1992
|
|
1
|
On the extension of possibility measures. Fuzzy Sets and Systems
– Qiao
- 1989
|
|
1
|
On the extension of possibility measures
– Wang, Zhang
- 1984
|
|
1
|
Semi-lattice structure of all extensions of the possibility measure and the consonant belief function on the fuzzy set. Fuzzy Sets and Systems
– Zhang
- 1991
|
|
1
|
Possibility measure induced by a L-fuzzy set function on an arbitrary nonempty class of L-fuzzy set. The Journal of Fuzzy Mathematics
– Zhang, Wang
- 1995
|
|
1
|
On the extension of possibility measures
– Qiao
- 1989
|