Fuzzy logic is a logical calculus which operates with many truth values (while classical logic works with the two values of true and false). Since fuzzy logic considers the truth of scientific statements like something softened, it is fruitfully applied to the study of biological phenomena, biology is indeed considered the field of complexity, uncertainty and vagueness. In this paper fuzzy logi...

There are distinct techniques to generate fuzzy implication functions. Despite most of them using the combination associative aggregators and negations, other connectives such as (general) overlap/grouping functions may be a better strategy. Since these possibly non-associative operators have been successfully used in many applications, decision making, classification image processing, idea thi...

A model of quantum computation is discussed in (Aharanov et al 1997 Proc. 13th Annual ACM Symp. on Theory of Computation, STOC pp 20–30) and (Tarasov 2002 J. Phys. A: Math. Gen. 35 5207–35) in which quantum gates are represented by quantum operations acting on mixed states. It allows one to use a quantum computational model in which connectives of a four-valued logic can be realized as quantum ...

The conditional mean value has applications in regression analysis and financial mathematics, because they are used it. We can find papers from recent years that use the fuzzy cases. As intuitionstic sets an extension of sets, we will try to define a for intuitionistic case. crisp events was first studied by V. Valenčáková 2009. She Gödel connectives. Her approach only be special cases events, ...

Neutrosophy has been introduced some years ago by Florentin Smarandache as a new branch of philosophy dealing with “the origin, nature and scope of neutralities, as well as their interactions with different ideational spectra”. A variety of new theories has been developed on the basic principles of neutrosophy: among them is neutrosophic logics, a family of manyvalued systems that can be regard...

Abduction is an important form of nonmono tonic reasoning allowing one to nd explanations for certain symptoms or observations We consider the situation when the application domain is described by a logic program IF THEN rules To model uncertainty in human cognition and real world applications we use fuzzy logic i e many valued logic where axioms can have truth values con dence factors smaller ...

Mathematical morphology (MM) offers a wide range of tools for image processing and computer vision. MM was originally conceived for the processing of binary images and later extended to gray-scale morphology. Extensions of classical binary morphology to gray-scale morphology include approaches based on fuzzy set theory that give rise to fuzzy mathematical morphology (FMM). From a mathematical p...

Several fuzzifications of formal concept analysis have been proposed to deal with uncertain information. In this paper, we focus on concept lattices under a multiadjoint paradigm, which enriches the language providing greater flexibility to the user in that she can choose from a number of different connectives. Multi-adjoint concept lattices are shown to embed different fuzzy extensions of conc...

In [1, 2] we studied various concepts of bipolar queries (cf. Dubois and Prade [3]). We advocated there the use of a fuzzified version of the original crisp definition introduced by Lacroix and Lavency [4]. However, the fuzzification proposed, as general as it was, leaves open the choice of a representation of logical entities, notably the logical connectives and quantifiers. In the present pap...