we study interior operators and interior structures in a fuzzy setting.we investigate systems of “almost open” fuzzy sets and the relationshipsto fuzzy interior operators and fuzzy interior systems.

in this paper, by means of fuzzy approaches, an accurate method is introduced for edging of color photographs. the difference between our method with other similar methods is the use of a morphological operation to think or thick the obtained edges. in this proposed method, a 3×3 window is dragged on the photo. for each block, 12 point sets will be defined, each including two non-overlapping po...

the science parks have important role in development of technology and are able to make economic growth of the countries. the purpose of this paper is the presentation of a fuzzy expert system (fis) as intelligent systems to evaluate the science and technology parks. one of the problems for evaluating science and technology parks is to have the high number of criteria and science parks which ah...

Indeterminacy makes the main distinction between fuzzy/intuitionistic fuzzy (and other extensions of fuzzy) set/logic vs. neutrosophic set/logic, and classical probability probability. Also, statistics plithogenic statistics, algebraic structures structures, crisp numbers numbers. We present a broad definition indeterminacy, various types indeterminacies, many practical applications.

Quantum computation is going to revolutionize the world of computing by enabling design massive parallel algorithms that solve hard problems in an efficient way, thanks exploitation quantum mechanics effects, such as superposition, entanglement, and interference. These computational improvements could strongly influence way how fuzzy systems are designed used contexts, Big Data, where efficienc...

Logic is a universal language of abstract concepts of two-valued world. Fuzzy logic is a cornerstone of abstraction of real (continuous) world. Granular Computing is aimed at the development, processing and exchanging information granules. Viewing such granules as abstractions of real world, their manipulation is ultimately governed by the mechanisms of logic, and fuzzy logic in particular. In ...

The paper states the problem of fragmentation of contemporary fuzzy mathematics and the need of a unified methodology and formalism. We formulate several guidelines based on Hájek’s methodology in fuzzy logic, which enable us to follow closely the constructions and methods of classical mathematics recast in a fuzzy setting. As a particular solution we propose a three-layer architecture of fuzzy...