In (Fuzzy Sets and Systems 97 (1998) 33), we presented a fuzzy multipurpose decision making model integrating di4erent preference representations based on additive reciprocal fuzzy preference relations. The main aim of this paper is to complete the decision model studying conditions under which reciprocity property is maintained when aggregating preference relations using an OWA operator guided...

Two kinds of invariance for geometrical objects under transformations are involved in this paper. With respect to these kinds, we obtained novel invariants almost geodesic mappings the third type a non-symmetric affine connection space Our results presented two sections. In Section 3, equitorsion which do not have property reciprocity.

The end of the twentieth century was marked by a sea change in global governance in the realm of intellectual property rights (IPRs). Whereas countries historically retained substantial autonomy with regard to what they defined as intellectual ‘‘property’’ and the rights granted to the owners of intellectual property, the 1990s witnessed the establishment of new global obligations regarding nat...

We will investigate the ring of ”Gaussian integers” Z[i] = {a + bi | a, b ∈ Z}. First we will show that this ring shares an important property with the ring of integers: every element can be factored into a product of finitely many ”primes”. This result is the key to all the remaining concepts in this paper, which includes the ring Z[i]/αZ[i], analogous statements of famous theorems in Z, and q...

In this paper we investigate a special kind of almost geodesic mapping of the third type of spaces with non-symmetric affine connection. Also we find some relations for curvature tensors of associated affine connection spaces of almost geodesic mappings of the third type. Finally, we investigate equitorsion almost geodesic mapping having the property of reciprocity and find an invariant geometr...

The vibroacoustical reciprocity is proved for systems with a limited number of degrees freedom. In an experiment, this property used to check the dynamic validity orifice equation flow rate servovalve. frequency response function between impact hammer force and oil pressure next servovalve compared from velocity at point. range 100 450 Hz, good agreement obtained.

One-way wave equations conveniently describe wave propagation in media with discontinuous and/or rapid variations in one direction, but with smooth and slow variations in the complementary transverse directions. In the past, reciprocity theorems have been developed in terms of one-way wave fields. The boundaries of the integration volumes and the variations of the medium parameters must adhere ...

We show how to bound the effect of belief-dependent preferences on choices in sequential two-player games without information about the (higher-order) beliefs of players. The approach can be applied to a class of belief-dependent preferences which includes reciprocity (Dufwenberg and Kirchsteiger, 2004) and guilt aversion (Battigalli and Dufwenberg, 2007) as special cases. We show how the size ...

We prove in a direct fashion that a multidimensional probability measure μ is determinate if the higher dimensional analogue of Carleman’s condition is satisfied. In that case, the polynomials, as well as certain proper subspaces of the trigonometric functions, are dense in all associated Lp-spaces for 1 ≤ p < ∞. In particular these three statements hold if the reciprocal of a quasi-analytic we...