ON VARGAS'S PROOF OF CONSISTENCY TEST FOR 3 × 3 COMPARISON MATRICES IN AHP

Solving the Least Squares Method problem in the AHP for 3 × 3 and 4 × 4 matrices ⋆

Abstract The Analytic Hierarchy Process (AHP) is one of the most popular methods used in Multi-Attribute Decision Making. The Eigenvector Method (EM) and some distance minimizing methods such as the Least Squares Method (LSM) are of the possible tools for computing the priorities of the alternatives. A method for generating all the solutions of the LSM problem for 3 × 3 and 4 × 4 matrices is di...

Automatic formulation of falling multiple flexible-link robotic manipulators using 3×3 rotational matrices

In this paper, the effect of normal impact on the mathematical modeling of flexible multiple links is investigated. The response of such a system can be fully determined by two distinct solution procedures. Highly nonlinear differential equations are exploited to model the falling phase of the system prior to normal impact; and algebraic equations are used to model the normal collision of this ...

the test for adverse selection in life insurance market: the case of mellat insurance company

انتخاب نامساعد یکی از مشکلات اساسی در صنعت بیمه است. که ابتدا در سال 1960، توسط روتشیلد واستیگلیتز مورد بحث ومطالعه قرار گرفت ازآن موقع تاکنون بسیاری از پژوهشگران مدل های مختلفی را برای تجزیه و تحلیل تقاضا برای صنعت بیمه عمر که تماما ناشی از عدم قطعیت در این صنعت میباشد انجام داده اند .وهدف از آن پیدا کردن شرایطی است که تحت آن شرایط انتخاب یا کنار گذاشتن یک بیمه گزار به نفع و یا زیان شرکت بیمه ...

COMPARISON FORMULA FOR GROMOV - WITTEN INVARIANTS 3 Proof

On Initial Data in the Problem of Consistency on Cubic Lattices for $3 \times 3$ Determinants

The paper is devoted to complete proofs of theorems on consistency on cubic lattices for 3 × 3 determinants. The discrete nonlinear equations on Z defined by the condition that the determinants of all 3×3 matrices of values of the scalar field at the points of the lattice Z that form elementary 3 × 3 squares vanish are considered; some explicit concrete conditions of general position on initial...