This paper presents fuzzy goal programming approach for bilevel linear fractional programming problem with a single decision maker at the upper level and a single decision maker at the lower level. Here, each level has single objective function, which are fractional in nature and the system constraints are linear functions. In the proposed approach, we first construct fractional membership func...

Multi objective quadratic fractional programming (MOQFP) problem involves optimization of several objective functions in the form of a ratio of numerator and denominator functions which involve both contains linear and quadratic forms with the assumption that the set of feasible solutions is a convex polyhedral with a finite number of extreme points and the denominator part of each of the objec...

In this paper, a new concept of the fuzzy stability set of the first kind for multi-level multi-objective fractional programming (ML-MOFP) problems having a single-scalar parameter in the objective functions and fuzziness in the right-hand side of the constraints has been introduced. Firstly, A parametric ML-MOFP model with crisp set of constraints is established based on the -cut approach. Sec...

water shortages is one of the main factors inhibiting economic and social development and agriculture in most developing countries, especially in countries located in arid and semi-arid belt of the world. the study tried to investigate the affecting factors on water resources exploitation with considering water utilization pattern and an emphasis on sustainable water use in fars province. due t...

Poincaré series have always played a central rôle in the theory of automorphic functions and harmonic analysis on manifolds of constant negative curvature. The trace formulae approach was introduced by Selberg [20] in 1956 and has become the key to their analysis. However, with the advent of a more geometrical viewpoint (through the work of Patterson [15, 16], Sullivan [21, 22] and others) it b...

Elaborating on a previous work by Han et al. [Phys. Lett. A 221 (1996) 283], we provide a general, basis-independent proof of the necessity of negative probability measures in certain local hidden-variable (LHV) models giving a violation of the Bell-CHSH inequality. Moreover, we obtain general solutions for LHV-induced probability measures that reproduce any consistent set of probabilities. PAC...

In this note we study the problem of orbit counting for certain groups of isometries of simply connected surfaces with possibly variable negative curvature. We show that if N(t) denotes the orbit counting function for a convex co-compact group of isometries then for some constants C, h > 0, N(t) ∼ Ceht, as t→ +∞.

This paper presents a new study of the grammatical and social factors conditioning variable negative concord in Québec French, with a particular focus on the French spoken in Montréal. It has been observed, since at least Daoust-Blais 1975, Lemieux 1985 and Muller 1991, that negative indefinites in certain varieties of French spoken in Canada and in Europe can optionally co-occur with the sente...