The Analytic Hierarchy Process (AHP) proposed by T. L. Saaty has been widely used in decision making. Inner dependence method AHP is used for cases in which criteria or alternatives are not independent enough and using the original AHP or inner dependence AHP may cause results to lose reliability because the comparison matrix is not necessarily sufficiently consistent. In such cases, fuzzy repr...

In an attempt to gain a better position in haggling, consumers often seek a seller's pricing information (e.g., whether the posted price is negotiable, the discount and transaction prices) before going to that seller. Although traditionally difficult to obtain, such information is becoming increasingly available due to consumer price posting (CPP), whereby consumers post and share their purchas...

Given a diagonalizable N × matrix H, whose non-degenerate spectrum consists of p pairs complex conjugate eigenvalues and additional − 2p real eigenvalues, we determine all metrics M, possible signatures, with respect to which H is pseudo-hermitian. In particular, show that any compatible M must have opposite in its so the minimal number both positive negative M. We provide explicit parameteriza...

In the present paper‎, ‎we propose an iterative algorithm for‎ ‎solving the generalized $(P,Q)$-reflexive solution of the quaternion matrix‎ ‎equation $overset{u}{underset{l=1}{sum}}A_{l}XB_{l}+overset{v} ‎{underset{s=1}{sum}}C_{s}widetilde{X}D_{s}=F$‎. ‎By this iterative algorithm‎, ‎the solvability of the problem can be determined automatically‎. ‎When the‎ ‎matrix equation is consistent over...