The Analytic Hierarchy Process (AHP) is aimed at enabling decision-makers to prioritize alternatives. However, when expert expresses judgments using natural language statements (e.g. words or phrases), they can be interpreted not precisely due to inherent vagueness of the language constructs. Fuzzy Analytic Hierarchy Process (FAHP) can be viewed in the context of the classical AHP expansion. While performing pairwise comparisons domain experts are accustomed to operating with verbal terms in their judgments. Most of existing FAHP approaches do not consider human’s confidence in estimates provided. The paper presents a model that gives a weigh to constraints on domain expert assessments as they are almost always supplied with certain degrees of confidence. Interval type-2 membership functions (IT2MF) along with the probability-theoretical procedure for comparison of intervals can be applied here as suitable modeling options. Empirical comparison of FAHP that makes use of triangular fuzzy numbers and IT2MF-based FAHP is also presented.
The Modeling of problem situations is a very important issue in decision-making theory. Actually, there are no decision support systems which include decision making methods under risk and uncertainty. The main advantage of proposed approach is ability to process dependences and feedbacks which may exist between conditions, sub-conditions and their realizations.
A new hierarchical model of decision making under multiple criteria that form a multilevel system is proposed. With this model, one can use approaches and methods of the criteria importance theory to collect information about the importance of criteria and use it to analyze practical multicriterial decision making problems in a correct way.
The increase of supply chains efficiency requires optimization of all types of logistic operations and functions. One of such functions is a choice of intermediaries (carriers, freight forwarders, suppliers, service enterprises etc.). The article discusses the analytical and expert approaches which serve as a basis to choose the intermediaries; along with it, in the article a comparative evaluation of choice expert methods is done: point-rating assessment, analytic hierarchy process and the general algorithm for selecting; the conclusions have been drawn about the applicability of each method