Abstract The Alexandrov L -fuzzy nearness is a new addition to the systems that base for intelligent and its wide applications in various fields. This paper represents connections among such as: rough sets, semi-topogenous orders uniformities complete residuated lattices. Moreover, we show there Galois correspondence between categories of those mentioned systems.

The spatial expression “near” describes proximity and is frequently used for web search such as “gas stations near the old market”. What is “near” depends on the context and I investigate how a context dependent model for “near” can be formulated. For doing so, I investigate the following questions: (i) what is the relevant contextual information for “near”? (ii) how does the identified informa...

To distinguish continuous from discontinuous evolutionary change, a relation of nearness between phenotypes is needed. Such a relation is based on the probability of one phenotype being accessible from another through changes in the genotype. This nearness relation is exemplified by calculating the shape neighborhood of a transfer RNA secondary structure and provides a characterization of disco...

Conditioning of a nonsingular matrix subspace is addressed in terms of its best conditioned elements. Computationally the problem is seemingly challenging. By associating with the task an intersection problem with unitary matrices leads to a more accessible approach. A resulting matrix nearness problem can be viewed to generalize the so-called Löwdin problem in quantum chemistry. For critical p...

In this study, nearness near-ring, subnearness M-group and ideal are introduced. By considering operations on the set of all near left weak cosets, near-ring cosets homomorphism also presented. Moreover, some properties these structures investigated.

An axiomatic constructive development of the theory of nearness and apartness of a point and a set is introduced as a setting for topology.

The nearness diagram (ND) navigation method is a reactive navigation method used for obstacle avoidance in which five different robot-environment states are defined and five corresponding actions are designed carefully. In the ND+ navigation method, one more robot-environment state is added and all action equations are reformed to both achieve smoother robot motions and reduce manual parameter ...