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Domain Theory for Nonmonotonic Functions
, 1990
"... We prove several lattice theoretical fixpoint theorems based on the classical theorem of Knaster and Tarski. These theorems give sufficient conditions for a system of generally nonmonotonic functions on a complete lattice to define a unique minimal fixpoint. The primary objective of this paper is to ..."
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Cited by 1 (1 self)
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We prove several lattice theoretical fixpoint theorems based on the classical theorem of Knaster and Tarski. These theorems give sufficient conditions for a system of generally nonmonotonic functions on a complete lattice to define a unique minimal fixpoint. The primary objective of this paper
Partial Idenitification and Nonparametric Estimation of Nonseparable, Nonmonotonous Functions
, 2005
"... This paper is concerned with identification and estimation of nonseparable models. It studies a very general type of regression model that is suitable for many economic applications. Nonseparable models do not impose any type of additivity between the unobserved part and the observable regressors. ..."
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This paper is concerned with identification and estimation of nonseparable models. It studies a very general type of regression model that is suitable for many economic applications. Nonseparable models do not impose any type of additivity between the unobserved part and the observable regressors. For identifiability of nonseparable models is has been proposed to assume monotonicity in the unobservables. We argue that this assumption is too restrictive in many applications and we show that without this assumption, local average marginal effects are still identified, and we provide large sample theory for their estimation. Moreover, we generalize the concepts of endogeneity and instruments, and provide specification tests. Again, large sample theory is provided. Finally, we apply all concepts to demand analysis with British Consumer Data.
HAJEKRENYITYPE INEQUALITY FOR SOME NONMONOTONIC FUNCTIONS OF ASSOCIATED RANDOM VARIABLES
"... Let {Yn, n ≥ 1} be a sequence of nonmonotonic functions of associated random variables. We derive a Newman and Wright (1981) type of inequality for the maximum of partial sums of the sequence {Yn, n ≥ 1} and a HajekRenyitype inequality for nonmonotonic functions of associated random variables unde ..."
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Let {Yn, n ≥ 1} be a sequence of nonmonotonic functions of associated random variables. We derive a Newman and Wright (1981) type of inequality for the maximum of partial sums of the sequence {Yn, n ≥ 1} and a HajekRenyitype inequality for nonmonotonic functions of associated random variables
Research Article An Analytical Approach to Evaluating Nonmonotonic Functions of Fuzzy Numbers
"... Copyright © 2015 A. Seibel and J. Schlattmann.This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper presents a novel analytical ..."
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approach to evaluating continuous, nonmonotonic functions of independent fuzzy numbers. The approach is based on a parametric
Bifurcation analysis of a predatorprey system with nonmonotonic functional response
 SIAM J. Appl. Math
"... Abstract. We consider a predatorprey system with nonmonotonic functional response: p(x) = mx ax2+bx+1. By allowing b to be negative (b> −2√a), p(x) is concave up for small values of x> 0 as it is for the sigmoidal functional response. We show that in this case there exists a Bogdanov–Takens b ..."
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Cited by 21 (3 self)
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Abstract. We consider a predatorprey system with nonmonotonic functional response: p(x) = mx ax2+bx+1. By allowing b to be negative (b> −2√a), p(x) is concave up for small values of x> 0 as it is for the sigmoidal functional response. We show that in this case there exists a Bogdanov
Global analysis in a predatorprey system with nonmonotonic functional response
 SIAM J. Appl. Math
"... Abstract. A predatorprey system with nonmonotonic functionalresponse is considered. Global qualitative and bifurcation analyses are combined to determine the global dynamics of the model. The bifurcation analysis of the model depending on all parameters indicates that it exhibits numerous kinds of ..."
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Cited by 44 (9 self)
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Abstract. A predatorprey system with nonmonotonic functionalresponse is considered. Global qualitative and bifurcation analyses are combined to determine the global dynamics of the model. The bifurcation analysis of the model depending on all parameters indicates that it exhibits numerous kinds
The Extended Linear Complementarity Problem
, 1993
"... We consider an extension of the horizontal linear complementarity problem, which we call the extended linear complementarity problem (XLCP). With the aid of a natural bilinear program, we establish various properties of this extended complementarity problem; these include the convexity of the biline ..."
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Cited by 788 (30 self)
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of the bilinear objective function under a monotonicity assumption, the polyhedrality of the solution set of a monotone XLCP, and an error bound result for a nondegenerate XLCP. We also present a finite, sequential linear programming algorithm for solving the nonmonotone XLCP.
A Theory of Diagnosis from First Principles
 ARTIFICIAL INTELLIGENCE
, 1987
"... Suppose one is given a description of a system, together with an observation of the system's behaviour which conflicts with the way the system is meant to behave. The diagnostic problem is to determine those components of the system which, when assumed to be functioning abnormally, will explain ..."
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Cited by 1120 (5 self)
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Suppose one is given a description of a system, together with an observation of the system's behaviour which conflicts with the way the system is meant to behave. The diagnostic problem is to determine those components of the system which, when assumed to be functioning abnormally
Knowledge Interchange Format Version 3.0 Reference Manual
, 1992
"... : Knowledge Interchange Format (KIF) is a computeroriented language for the interchange of knowledge among disparate programs. It has declarative semantics (i.e. the meaning of expressions in the representation can be understood without appeal to an interpreter for manipulating those expressions); ..."
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Cited by 484 (14 self)
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); it is logically comprehensive (i.e. it provides for the expression of arbitrary sentences in the firstorder predicate calculus); it provides for the representation of knowledge about the representation of knowledge; it provides for the representation of nonmonotonic reasoning rules; and it provides
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