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What is Multiset

Chapter 14
Automated Systems in the Aviation and Aerospace Industries
A set of elements supplied with their multiplicities (for example, two books and three pencils).
Published in Chapter:
Modeling With Colored Petri Nets: Specification, Verification, and Performance Evaluation of Systems
Dmitry A. Zaitsev (Vistula University, Poland) and Tatiana R. Shmeleva (A. S. Popov Odessa National Academy of Telecommunications, Ukraine)
Copyright: © 2019 |Pages: 27
DOI: 10.4018/978-1-5225-7709-6.ch014
Abstract
Aviation and aerospace systems are complex and concurrent and require special tools for their specification, verification, and performance evaluation. The tool in demand should be easily integrated into the standard loop of model-driven development. Colored Petri nets represent a combination of a Petri net graph and a functional programming language ML that makes it powerful and convenient tool for specification of real-life system and solving both tasks: correctness proof i.e. verification and performance evaluation. This chapter studies basic and advanced features of CPN Tools – a powerful modeling system which uses graphical language of colored Petri nets. Starting with a concept of colored hierarhical timed Petri net, it goes through declaration of color sets and functions to peculiarities of hierarchical design of complex models and specification of timed characteristics. The authors accomplish the chapter with a real-life case study of performance evaluation for switched Ethernet network.
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Chapter 16
Refined Neutrosophic Sets and Refined Neutrosophic Soft Sets: Theory and Applications
Multiset is a generalization of the concept of a set. For example; { a , a , a , b , b , b,b }
Published in Chapter: Refined Neutrosophic Sets and Refined Neutrosophic Soft Sets: Theory and Applications; From: Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing
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Chapter 2
Bounded Cardinality and Symmetric Relationships
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Chapter 1
On Theory of Multisets and Applications
This notion has an alternate name called as “bag”. It is based on the idea that unlike sets a collection can have multiple occurrences of elements.
Published in Chapter: On Theory of Multisets and Applications; From: Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing
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Chapter 23
Introducing “NR-Statistics”: A New Direction in “Statistics”
It is a generalized set structure. In mathematics, the notion of multiset is a generalization of the notion of a set in which members are allowed to appear more than once.
Published in Chapter: Introducing “NR-Statistics”: A New Direction in “Statistics”; From: Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing
Full Text Chapter Download: US $37.50 Add to Cart
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