Methods of development of coordinated managerial decisions for selection of efficient projects. Part 2

Results of fundamental analysis of treatises have helped educe some problems (limitation, weaknesses and contradictions) on the basis of which has been formulated the direction of further development of the financial management on the efficient project chosen. New methodology in the range of designated direction is suggested for developing coordinated management decisions for the selection of effective investment projects. There are two fundamental theses in the methodology, which have scientific originality for financial and math sciences: synthesis of analytic hierarchy process (AHP) with elements of math statistics; synthesis AHP with fuzzy sets methods and math statistics methods. The first statement has disclosed in the previous article of the author. This article aims to introduce the second statement. The obtained results of fundamental analysis have allowed formulating the new methodology and modernizing classical representation AHP by T. Saaty to improving weaknesses, contradictions and limitation in part of: extension and correction the experts judgments scale by T. Saaty; new notations of matrix grade has been introduced; using neither one-type but different forms of fuzzy and empty sets in the range of paired comparisons matrix; suggesting new operations of paired comparison in AHP with fuzzy sets; new principles of formation of fuzzy sets variations transitive chains are developed; replacement or supplement of grade compatibility fuzzy exponent in paired comparisons matrix. Upgrade version AHP will help to resolve different problems of multi-criteria choice in all kinds of science with high universality and flexibility degree. The development potential of methods has been determined in the end of the article and AHP.