SOCIAL CHOICE AND SELF‐ORGANIZATION UNDER FUZZY MANAGEMENT Available to Purchase

A complex human system, whose description is only possible in a fuzzy way, was put into correspondence with management in the form of fuzzy instructions, which expressed unprecisely formulated actions and led to more than one way of their understanding and realization. We call such management fuzzy. The self‐organization processes in the human systems under fuzzy management are considered — building coalitions, forming a hierarchy, etc. The principle of Gause‐Arrow is presented, according to which in every human system under fuzzy management there is at least one “leader” who possesses the highest ability of generating variety of alternatives in response of fuzzy instructions. The following statement is proved: For each coalition formed under a stable fuzzy management there is a group choice rule which is socially satisfactory in the sense of Arrow.