Programming with Multiple Dimensionsis divided a ording to a hierar hy of power , governed by the prin iple Lex

An Explicit Algebraic Family of Genus-one Curves Violating the Hasse Principle

One says that a variety X over Q violates the Hasse prin iple if X(Q v ) 6= ; for all ompletions Q v of Q (i.e., R and Q p for all primes p) but X(Q) = ;. Hasse proved that degree 2 hypersurfa es in P n satisfy the Hasse prin iple. In parti ular, if X is a genus 0 urve, then X satis es the Hasse prin iple, sin e the anti anoni al embedding of X is a oni in P 2 . Around 1940, Lind [Lin℄ and (ind...

A Fuzzy Multi Objective Programming Model for Power Generation and Transmission Expansion Planning Problem

The increasing consumption of electricity over time forces different countries to establishnew power plants and transmission lines. There are various crisp single-objective mathematicalmodels in the literature for the long-term power generation and transmission expansion planning tohelp the decision makers to make more reasonable decisions. But, in practice, most of the parametersassociated wit...

Latent Maximum Entropy Prin iple

A Bayesian Weighting Prin iple for theFundamental Matrix

A Goal Programming Method for Finding Common Weights in DEA with an Improved Discriminating Power for Efficiency

A characteristic of data envelopment analysis (DEA) is to allow individual decision making units (DMUs) to select the most advantageous weights in calculating their efficiency scores. This flexibility, on the other hand, deters the comparison among DMUs on a common base. For dealing with this difficulty and assessing all the DMUs on the same scale, this paper proposes using a multiple objective...