How Long to Read FUZZY SOFT METRIC SPACE

How Long Does it Take to Read FUZZY SOFT METRIC SPACE?

It takes the average reader 1 hour and 7 minutes to read FUZZY SOFT METRIC SPACE by M.Vasuky

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

Description

The various uncertainties arise in complicated problems in Economics, Engineering, Environmental Science, Medical Science and Social Science. The methods of classical Mathematics may not be successfully used to solve them. Mathematical theories such as probability theory, fuzzy set theory and rough set theory were established by researchers to model uncertainties appearing in the above fields. But all these theories have their own difficulties. To overcome these difficulties, In 1999 Molodstov[7] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties. As the problem of setting the membership function does not arise in soft set theory, it can be easily applied to many different fields. In 2003, Maji.et.al.[5] studied some operations on the soft set theory. In 2009, M.I.Ali et.al.[1] studied some new operations on soft sets and its applications. In 2013, Sujoy Das et.al.[11] proposed soft metric space. In 2015, Thangaraj Beaula et.al.,[12] established the fuzzy soft metric spaces. In chapter 1, the basic definitions, examples, properties and theorems are given which are used for throughout the dissertation. In chapter 2, we defined Fuzzy soft metric space with suitable illustrations. We proved arbitrary union of fuzzy soft open set is fuzzy soft open set and the intersection of finite number of fuzzy soft open set is fuzzy soft open set. In chapter 3, Cauchy sequence are defined. First category, second category, dense, nowhere dense are all defined with suitable illustrations. We established Cantor intersection theorem on complete fuzzy soft metric space and also we proved Baires category theorem on fuzzy soft metric space. In chapter 4, fuzzy soft open cover, fuzzy soft compact set and fuzzy soft totally bounded set are defined. We proved some important theorems. Also we defined Bolzano Weirstress property and based on this we proved theorem namely fuzzy soft metric space becomes fuzzy soft sequentially compact if and only if fuzzy soft metric space has the property Bolzano Weirstrass. In chapter 5, we defined convex fuzzy soft metric space. Also we defined self mapping, fixed point and convergence of convex fuzzy soft metric space. Using these all we proved fixed point theorem on convex fuzzy soft metric space.

How long is FUZZY SOFT METRIC SPACE?

FUZZY SOFT METRIC SPACE by M.Vasuky is 66 pages long, and a total of 16,896 words.

This makes it 22% the length of the average book. It also has 21% more words than the average book.

How Long Does it Take to Read FUZZY SOFT METRIC SPACE Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 32 minutes to read FUZZY SOFT METRIC SPACE aloud.

What Reading Level is FUZZY SOFT METRIC SPACE?

FUZZY SOFT METRIC SPACE is suitable for students ages 8 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 FUZZY SOFT METRIC SPACE?

FUZZY SOFT METRIC SPACE by M.Vasuky is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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