The article presents the application of PIvot Pairwise RElative Criteria Importance Assessment (PIRECIA) method for ranking alternatives. PIPRECIA is primarily intended determining significance (weight) criteria, but it can also be used completely solving decision-making problems. So far, this has not been multiple criteria problems, which why evaluation and process evaluating alternatives usin...

For many decision problems with uncertainty, triangular intuitionistic fuzzy number is a useful tool in expressing ill-known quantities. This paper develops a novel decision method based on zero-sum game for multiple attribute decision making problems where the attribute values take the form of triangular intuitionistic fuzzy numbers and the attribute weights are unknown. First, a new value ind...

Fuzzy sets theory might provide the flexibility needed to represent the uncertainty resulting from the lack of knowledge [1-3]. The fuzzy preference relation is a kind of representation of the information about provided by the decision maker [4-6]. It is an important research topic how to choose an optimal alternative or rank alternatives from a finite set of alternatives according to the fuzzy...

There are many different methods for analysis of multiple criteria decision-making problems. Considering the problems evaluation alternatives, a typical situation is that application various methods leads to results, i.e. each method generates ranking alternatives. A similar situation occurs in case certain number individual decision-makers participates analysis of problem. The paper contai...

The assumptions underlying the Probability Ranking Principle (PRP) have led to a number of alternative approaches that cater or compensate for the PRP’s limitations. All alternatives deviate from the PRP by incorporating dependencies. This results in a re-ranking that promotes or demotes documents depending upon their relationship with the documents that have been already ranked. In this paper,...

The main aim of this paper is to present a novel method for ranking hesitant fuzzy sets (HFSs) based on transforming HFSs into fuzzy sets (FSs). The idea behind the method is an interesting HFS decomposition which is referred here to as the horizontal representation in the current study. To show the validity of the proposed ranking method, we apply it to solve a multi-attribute decision-making ...

This paper considers the problem of learning the ranking of a set of alternatives based upon incomplete information (e.g., a limited number of observations). We describe two algorithms for hypothesis ranking and their application for probably approximately correct (PAC) and expected loss (EL) learning criteria. Empirical results are provided to demonstrate the effectiveness of these ranking pro...

The aim of the current research is to measure objective congruence (incongruence) of the results obtained in a process of multiple criteria analysis when applying different MCDM methods. The methodology for evaluation of ranking results is developed on the ground of a case study of the redevelopment of derelict buildings as well as on composed experimental tasks. Fuzzified COPRAS, TOPSIS and VI...

Suppose that each ballot consists of a strict preference ranking of the alternatives, that alternative x has just won the election, and that a single voter now changes her ballot by moving x higher up in the ranking (without changing her relative preference among other alternatives). The standard monotonicity property of social choice theory asserts, in any such scenario, that x should remain t...