Water is an inescapable necessity for all forms of life on Earth. Therefore, both man-made reservoirs and natural reservoirs play critical roles for several purposes. Evaporation is an important factor that should be ...
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In this article, the notion of pentagonal fuzzy number (PFN) is introduced in a generalized way. A few articles have been published based on this topic, but they have some ambiguities in defining this type of fuzzy nu...
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In this article, the notion of pentagonal fuzzy number (PFN) is introduced in a generalized way. A few articles have been published based on this topic, but they have some ambiguities in defining this type of fuzzy number. Here, we proposed the logical definition in developing a pentagonal fuzzy number, along with its arithmetic operations. Based on PFN, the structure of pentagonal fuzzy matrices (PFMs) is studied, together with their basic properties. Some special type of PFMs and their algebraic natures (trace of PFM, adjoint of PFM, determinant of PFM, etc.) are discussed in this article. Finally, the notion of nilpotent PFM, comparable PFM, and constant PFMs, with their many properties, are highlighted in this article.
An end-element, a logic solver system and a sensor are essential parts of safety-critical systems. The time to market of a brand new logic solver system might drastically increase when a safety-critical operating syst...
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An end-element, a logic solver system and a sensor are essential parts of safety-critical systems. The time to market of a brand new logic solver system might drastically increase when a safety-critical operating system needs to be written from scratch. According to our observations, the commercial safety-critical operating systems are not flexible enough to be reused for a brand-new platform. Consequently, we are going to present a generic safety-critical operating system. The operating system is written in an object-oriented programming language. Inheritance and polymorphism are used to achieve hardware independency. The first results show that more than thirty percent of source code might be reused. Thus, a lot of time for testing, documenting and certifying can be saved.
To maximization the total profit and minimization the total cost we investigate two transportation models with interval transportation parameters and we present a solution of our newly developed models using appropria...
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The aim of this paper is to introduce and study the concept of hesitant multi-fuzzy soft topological space and some of its structural properties, such as the neighbourhood of hesitant multi-fuzzy soft sets and interio...
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The aim of this paper is to introduce and study the concept of hesitant multi-fuzzy soft topological space and some of its structural properties, such as the neighbourhood of hesitant multi-fuzzy soft sets and interior hesitant multi-fuzzy soft sets, the hesitant multi-fuzzy soft basis and hesitant multi-fuzzy soft subspace topology. Additionally, we introduce and define the hesitant multi-fuzzy soft cover, hesitant multi-fuzzy soft open cover, and hesitant multi-fuzzy soft compactness, and some important results on them are presented.
The aim of this paper is to introduce the concept of generalised multi-fuzzy soft set. We also define several generalised multi-fuzzy soft set operations and study their properties, and applications of generalised mul...
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The aim of this paper is to introduce the concept of generalised multi-fuzzy soft set. We also define several generalised multi-fuzzy soft set operations and study their properties, and applications of generalised multi-fuzzy soft sets in decision making problem were presented.
In the article the detection of “missing” or “hidden” data during the processing of the well-defined queries to database is discussed and on terms of quality the importance is justified, the article also covers or...
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In the article the detection of “missing” or “hidden” data during the processing of the well-defined queries to database is discussed and on terms of quality the importance is justified, the article also covers organization, processing, and program implementation issues of fuzzy queries to database of information systems.
The theoretical concepts of graphs are highly utilized by computer science applications, social sciences, and medical sciences, especially in computer science for applications such as data mining, image segmentation, ...
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The theoretical concepts of graphs are highly utilized by computer science applications, social sciences, and medical sciences, especially in computer science for applications such as data mining, image segmentation, clustering, image capturing, and networking. Fuzzy graphs, bipolar fuzzy graphs and the recently developed m -polar fuzzy graphs are growing research topics because they are generalizations of graphs (crisp). In this paper, three new operations, i.e., direct product, semi-strong product and strong product, are defined on m -polar fuzzy graphs. It is proved that any of the products of m -polar fuzzy graphs are again an m -polar fuzzy graph. Sufficient conditions are established for each to be strong, and it is proved that the strong product of two complete m -polar fuzzy graphs is complete. If any of the products of two m -polar fuzzy graphs G 1 and G 2 are strong, then at least G 1 or G 2 must be strong. Moreover, the density of an m -polar fuzzy graph is defined, the notion of balanced m -polar fuzzy graph is studied, and necessary and sufficient conditions for the preceding products of two m -polar fuzzy balanced graphs to be balanced are established. Finally, the concept of product m -polar fuzzy graph is introduced, and it is shown that every product m -polar fuzzy graph is an m -polar fuzzy graph. Some operations, like union, direct product, and ring sum are defined to construct new product m -polar fuzzy graphs.
Diagnostics is one of the significant parameters of functional safety which concerns itself with revealing dangerous incidents that might impede the operation of safety systems. Diagnostic coverage factor (DC) is defi...
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In this paper, we define three operations on intuitionistic fuzzy graphs, viz. direct product, semi-strong product and strong product. In addition, we investigated many interesting results regarding the operations. Mo...
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In this paper, we define three operations on intuitionistic fuzzy graphs, viz. direct product, semi-strong product and strong product. In addition, we investigated many interesting results regarding the operations. Moreover, it is demonstrated that any of the products of strong intuitionistic fuzzy graphs are strong intuitionistic fuzzy graphs. Finally, we defined product intuitionistic fuzzy graphs and investigated many interesting results.
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