How Long to Read Vaguely Defined Objects

By M. Wygralak

How Long Does it Take to Read Vaguely Defined Objects?

It takes the average reader 4 hours and 36 minutes to read Vaguely Defined Objects by M. Wygralak

Assuming a reading speed of 250 words per minute. Learn more

Description

In recent years, an impetuous development of new, unconventional theories, methods, techniques and technologies in computer and information sciences, systems analysis, decision-making and control, expert systems, data modelling, engineering, etc. , resulted in a considerable increase of interest in adequate mathematical description and analysis of objects, phenomena, and processes which are vague or imprecise by their very nature. Classical two-valued logic and the related notion of a set, together with its mathematical consequences, are then often inadequate or insufficient formal tools, and can even become useless for applications because of their (too) categorical character: 'true - false', 'belongs - does not belong', 'is - is not', 'black - white', '0 - 1', etc. This is why one replaces classical logic by various types of many-valued logics and, on the other hand, more general notions are introduced instead of or beside that of a set. Let us mention, for instance, fuzzy sets and derivative concepts, flou sets and twofold fuzzy sets, which have been created for different purposes as well as using distinct formal and informal motivations. A kind of numerical information concerning of 'how many' elements those objects are composed seems to be one of the simplest and more important types of information about them. To get it, one needs a suitable notion of cardinality and, moreover, a possibility to calculate with such cardinalities. Unfortunately, neither fuzzy sets nor the other nonclassical concepts have been equipped with a satisfactory (nonclassical) cardinality theory.

How long is Vaguely Defined Objects?

Vaguely Defined Objects by M. Wygralak is 268 pages long, and a total of 69,144 words.

This makes it 90% the length of the average book. It also has 85% more words than the average book.

How Long Does it Take to Read Vaguely Defined Objects Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 17 minutes to read Vaguely Defined Objects aloud.

What Reading Level is Vaguely Defined Objects?

Vaguely Defined Objects is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Vaguely Defined Objects?

Vaguely Defined Objects by M. Wygralak is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Vaguely Defined Objects by M. Wygralak on Amazon click the button below.

Buy Vaguely Defined Objects on Amazon