In this paper the notions of bipolar valued fuzzy subsemigroup, bipolar valued fuzzy bi-ideal, bipolar valued fuzzy (1,2)ideal and bipolar valued fuzzy ideal in a Γ-semigroup have been introduced. Some important characterizations are also obtained. Mathematics Subject Classification: 20M12, 03F55, 03E72

We continue to develop a construction of an L-fuzzy valued measure by extending a measure defined on a σalgebra of crisp sets to an L-fuzzy valued measure defined on a TM-tribe in the case when operations with L-sets and L-fuzzy numbers are defined by using the minimum triangular norm TM . We introduce an L-fuzzy valued integral over an L-set with respect to an L-fuzzy valued measure, consider ...

Many of the new MV-valued fuzzy structures, including intuitionistic, neutrosophic, or soft sets, can be transformed into so-called almost or, equivalently, sets with values in dual pair semirings (in symbols, (R,R*)-fuzzy sets). This transformation allows any construction to retransformed an analogous for these structures. In that way, approximation theories rough theories, F-transform have al...

Many fields of application deal with vague and fuzzy information. Thus the need of tools that are able to handle this kind of data is obvious. We concentrate on the extension of well-known terminological knowledge representation systems with appropriate methods. Classical terminological knowledge representation systems are based on two-valued logics. To solve problems of uncertainty a more expr...

Extracting binary strings from real-valued biometric templates is a fundamental step in template compression and protection systems, such as fuzzy commitment, fuzzy extractor, secure sketch, and helper data systems. Quantization and coding is the straightforward way to extract binary representations from arbitrary real-valued biometric modalities. In this paper, we propose a pairwise adaptive p...

s of the Talks In the order in which the talks were given. Walter Carnielli – Non-deterministic Semantics 5 Matthias Baaz – Analytic Calculi for Many-valued Logics 5 Hiroakira Ono – Many-valued Logics as Logics without the Contraction Rule 6 Reiner Hähnle – Proof Theory of Many-valued Logic and Hardware Design 7 Gonzalo Escalada-Imaz – Determining the Truth Degree in Real Time Settings 7 Peter ...

It is constructively proved that the multi-input–multi-output fuzzy systems based upon genuine many-valued implications are universal approximators (they are called Boolean type fuzzy systems in this paper). The general approach to construct such fuzzy systems is given, that is, through the partition of the output region (by the given accuracy). Two examples are provided to demonstrate the way ...

In 1965, in his pioneer paper L.A. Zadeh [9] introduced the concept of fuzzy set to handle the uncertainties in our daily life. After that many generalizations of fuzzy sets are presented, for example, interval valued fuzzy sets [10] and intuitionistic fuzzy sets [1]. Fuzzy sets are extremely useful to solve many problems in applied mathematics, information sciences and theory of automata [2]. ...

We develope a construction of an L-fuzzy valued measure by extending a measure defined on a σ-algebra of crisp sets to an L-fuzzy valued TM-countably additive measure defined on a TMclan of L-fuzzy sets in the case when operations for L-fuzzy sets and L-fuzzy real numbers are based on the minimum t-norm TM. Keywords— L-fuzzy set, L-fuzzy real number, L-fuzzy valued measure.

The relationship between the intuitionistic fuzzy sets and the algebraic hyperstructures is described in this paper. The concept of the quasi-coincidence of an intuitionistic fuzzy interval valued with an interval-valued intuitionistic fuzzy set is introduced and this is a natural generalization of the quasi-coincidence of an intuitionistic fuzzy point in intuitionistic fuzzy sets. By using thi...