In principle, we can have many different membership functions. Interestingly, however, in many practical applications, triangular and trapezoidal membership functions are the most efficient ones. In this paper, we use fuzzy approach to explain this empirical phenomenon.

In this paper we used a two-step procedure for the numerical translation of verbal frequency expressions of the response scale of a questionnaire (STAI-T). In an empirical study, 70 participants estimated numerical equivalents for verbal frequency expressions, data was modeled, and fuzzy membership functions were calculated. Results show that the scale’s visual arrangement does not influence th...

In this paper, the texture feature ”coarseness” is modelled by means of a fuzzy partition on the domain of coarseness measures. The number of linguistic labels to be used, and the parameters of the membership functions associated to each fuzzy set are calculated relating representative coarseness measures (our reference set) with the human perception of this texture property. A wide variety of ...

The current research is devoted to developing methods of a novel mathematical interpretation of term-sets of linguistic variables. To the term-sets of the linguistic variables fuzzy sets are assigned. We intend to adopt the sfunctions and the π-functions to derive formulas of membership functions of these sets. The fuzzy sets are divided in three families in the case of an odd number of the ter...

data envelopment analysis (dea) is a method to evaluate the relative efficiency of decision making units (dmus). in this method, the issue has always been to determine a set of weights for each dmu which often caused many problems. since the dea models also have the multi-objective linear programming (molp) problems nature, a rational relationship can be established between molp and dea problem...

The objective of image fusion for medical images is to combine multiple images obtained from various sources into a single image suitable for better diagnosis. Most of the state-of-the-art image fusing technique is based on nonfuzzy sets, and the fused image so obtained lags with complementary information. Intuitionistic fuzzy sets (IFS) are determined to be more suitable for civilian, and medi...

In this paper, we present a new approach to the design of a fuzzy expressions processor with semantic modifiers and operators. We make use of this approach to define fuzzy operations like “greater than”, “less than” and “between”. These expressions are formalized by means of membership functions. The formalization of the method is discussed, and some examples of its use are presented and justif...

A new current-mode fuzzy-membership function circuit is proposed. The circuit has a very compact and simple architecture based on the simultaneous use of winnerand loser-take-all topologies. The circuit has also the advantage of easily adjusting generated membership function characteristics such as center or mean and width with a straightforward application of respective input currents. It is s...

In wireless mobile environments, we increasingly use data that depends on the location of mobile clients. However, requested geographical objects (GOs) do not exist in all areas with uniform distribution. More urbanized areas have greater population and greater GO density. Thus the results of queries may vary based on the perception of distance. We use urbanization as a criterion to analyze the...