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...

While focusing on document clustering, this work presents a fuzzy semi-supervised clustering algorithm called fuzzy semi-Kmeans. The fuzzy semi-Kmeans is an extension of K-means clustering model, and it is inspired by an EM algorithm and a Gaussian mixture model. Additionally, the fuzzy semi-Kmeans provides the flexibility to employ different fuzzy membership functions to measure the distance b...

In an earlier paper, we derived explicit Fourier series expressions for systematic computation of grade of membership in the overlap and non-overlap regions of triangular fuzzy sets; and by implication, computation of union and intersection of the fuzzy sets. In this paper, we hereby extend the methodology to cover cases of the cosine, exponential and Gaussian fuzzy sets by presenting explicit ...

This work presents a methodology to be used estimate the Metal Oxide Surge Arresters’ (MOSAs’) useful life, based on prediction model Adaptive Neuro-Fuzzy Inference System (ANFIS). For this purpose, database consisting of MOSA’s total leakage current was used. Thus, it possible build time series composed values third harmonic component current. is one indicators MOSAs’ degradation level most in...

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...