A preference matrix is the result of pairwise comparison and is a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns the value from a given scale which is a linearly ordered Abelian group (Alogroup) to any pair of alternatives representing the element...

The paper gives the systematic characterization of eigenspace in max-T algebra where T is equal to ukasiewicz t-norm. Max- ukasiewicz fuzzy algebra can be used for the description of the states of Discrete-event systems. The states can represent a balance of the resource unit expended during the evolution...

The steady states of a fuzzy discrete dynamic system correspond to invariants (eigenvectors) of the transition matrix of the system. The structure of the eigenspace of a given fuzzy matrix is considered for various max-T algebras, where T is some triangular norm (Gödel, ukasiewicz, product, drastic)....

We take advantage of a recent development in Social Choice in order to propose a new algorithm for the prioritization of objects characterized by fuzzy soft sets. It benefits from the performance of an endogenous scoring rule recently proposed by Herrero [1]. Our procedure constructs a “comparison matrix”...

The paper presents a generalization of the Strength Pareto Evolutionary Algorithm 2 (SPEA2) and its application in selected well-known two- and threeobjective optimization benchmark problems. The proposed solution is referred to as our SPEA3. The generalization consists in the exchange of the environmental...

Opinion formation is well used to investigate a consensus or several clusters among the opinions of a group of interaction agents. This study proposes several bounded confidence models to discuss the uncertain opinion formation. In the proposed models, the agents’ various tolerances (zero-tolerance,...

In this paper the method for the minimum cost flow determining in fuzzy dynamic network with nonzero lower flow bounds is proposed. Considered method takes into account fuzzy nature of networks’ parameters and deals with fuzzy arc flow bounds, fuzzy transmission costs. Fuzzy arc flow bounds, costs and...

The previous correlation measures for hesitant fuzzy sets proposed in the literature only capture the strength of the correlations. We present a new approach based on the classical Pearson correlation coefficient for crisp values. In this way we can express not only the strength of the relationship between...

Probabilistic and fuzzy choice theory are used to describe decision situations in which a certain degree of imprecision is involved. In this work we propose a correspondence between probabilistic and fuzzy choice functions, based on implication operators. Given a probabilistic choice function a fuzzy...

In the setting of fuzzy choice functions (Georgescu [6]), we explore the relationships among known and new consistency axioms. Then we define the notion of sequential application of fuzzy choice functions, and investigate its normative implications. The Fuzzy Arrow Axiom is preserved by this sequential...

Interval AHP was proposed to express the decision maker’s vague evaluations on criteria by interval weights from a given pairwise comparison matrix. It has been extended to group decision problems. Three complementary approaches have been proposed: the perfect incorporation approach for counting out...

This paper establishes a theory of decision making under uncertainty with fuzzy utilities. The extension of expected utility and stochastic dominance to the comparison of sets of random variables plays a crucial role. Their properties as fuzzy rankings are studied, and their definitions are further generalized...

We propose using fuzzy time series (FTS) to forecast the future performance of returns on portfolios. We model the portfolio selection problem by means of possibilistic moments, and approximate the uncertainty of the return on a given portfolio by trapezoidal fuzzy numbers. Some modifications into the...

The emergence of more powerful computational techniques has stimulated the development and study of more sophisticated models for portfolio selection problem including further constraints and further financial and non-financial decision criteria. In this paper, we propose a hybrid approach composed of...

Many real-world decision making problems require multiple criteria which can be from different nature. This implies to define a heterogeneous context with different types of information that experts will use to provide their assessments. But sometimes, experts do not have enough knowledge or information...

The paper shows how a specific notion of consistency based on a definition of interactions of decision goals is linked with the notion of separability. Subsets of deci-sion alternatives for which additive aggregation as deci-sion making concept is allowed are systematically iden-tified. These subsets...

In multi-criteria decision problems the relative importance of alternatives is computed from preference matrices, which come from experience and can possibly be inconsistent. Two consistency types of preferences are studied in the paper. The ordinal consistency preserves the order in which the alternatives...

In this paper we propose a general procedure to represent a fuzzy set that may be non-normal and/or non-convex. This representation will be offered by an interval and a crisp value. This idea is useful either in optimization and decision making problems or in defuzzification step of a fuzzy inference...

The suggested approach, FMAA (Fuzzy Multicriteria Acceptability Analysis), assimilates uncertainties/ imprecisions of objective values and subjective judgments within the discrete Multi-Criteria Decision Analysis (MCDA). The presented algorithm for FMAA implementation utilizes fuzzy criterion values...

A multi-criteria decision making (MCDM) method, as its own name suggests, is for use in situations when more than one criterion must be considered. In this work, we will focus on the Analytic Hierarchy Process (AHP), one of the well-known and most widely used MCDM approaches. Despite the extensive application...

Fuzzy graph, fuzzy directed way, accessible degree, fuzzy transitive closure, reachability degree, strong connection degree, vitality degree, fuzzy set of vitality.

Advances in distributed networking have resulted in an explosion in size of modern datasets while storage and processing power continue to lag behind. This requires the need for algorithms that are efficient in terms of number of measurements and running time. To combat challenges associated with large...

Consensus reaching processes play a key role in the resolution of many group decision making problems, in which it is desirable to obtain a highly acceptable solution to all individuals involved in the problem. However, not much interest has been put on defining appropriate metrics to evaluate in further...

The Truck and Trailer Routing Problem, TTRP, is an extension of the well-known Vehicle Routing Problem. This problem consist of a heterogeneous fleet composed of trucks and trailers to serve a set of customers. Most of models used in the literature assume that the data available are accurate, but in...

Despite convex mathematical optimization methods be applied to general linear optimization problems it can also be applied in a special class of nonlinear optimization. As ambiguity and vagueness are natural and ever-present in real-life situations requiring solutions, it makes perfect sense to attempt...

Recently, some extensions of the classical fuzzy sets are studied in depth due to the good properties that they present. Among them, in this paper finite interval-valued hesitant fuzzy sets are the central piece of the study, as they are a generalization of more usual sets, so the results obtained can...

We propose a new point of view in the long-standing problem where several voters have expressed a linear order relation (or ranking) over a set of candidates. For a ranking a > b > c to represent a group’s opinion, it would be logical that the strength with which a > c is supported should not be less...

In this paper we provide a way to generate a class of weighted average operator from n-dimensional overlap functions and aggregation functions. These weighted average operators are used in an algorithm of a multiattribute group decision making problem based on decision matrix. An illustrative example...

Resource-constrained project scheduling (RCPS) problem can be defined as a combinatorial problem of constructing a special plan for performing a number of precedence related tasks that have to be executed with the use of limited uncertain resources. In this paper we study the framework of a heuristic...

In this article we examine to necessary and sufficient optimality conditions for interval optimization problems. We introduce a new concept of stationary point for an interval-valued function based on the gH-derivative. We show the importance the this concept from a practical and computational point...

In this paper, a fuzzy mathematical programming model is proposed to address integrated production and routing planning decisions which considers uncertain produc-tion and inventory capacities, as well as production, setup, inventory holding and transport costs. This pro-posal considers flexible constraints...

The growth of Location Based Services and Location Aware Services in indoor environments has focused the attention of the research community on indoor location systems, especially on those based on WLAN networks and Received Signal Strength (RSS). Despite the advances reached, the development of reliable,...