the objective of this article is to derive the necessary optimality conditions, known as pontryagin's minimum principle, for fuzzy optimal control problems based on the concepts of differentiability and integrability of a fuzzy mapping that may be parameterized by the left and right-hand functions of its $alpha$-level sets.

It seems intuitively reasonable that Gibbs' variational principle de­ termining the conditions of heterogeneous equilibrium can be gener­ alized to nonequilibrium conditions. That is, a nonequilibriurn steady state should be the one that makes some kind of generalized-entropy production stationary; and even in the presence of irreversible fluxes, the condition for migrational equilibrium should...

J. Dugundji Department of Mathematics, University of So. Cal., Los Angeles, CA. 90007, USA Z. Naturforsch. 37 b, 1205-1215 (1982); received April 5, 1982 Chemical Topology, Structure Correlation, Measure of Chemical Similarity, Quality of Syntheses, Shortest Reaction Pathways The principle of minimum chemical distance (PMCD) is derived from the general theory of the BEand R-matrices, and makes ...