Abstract:
In this paper, we propose a method to construct homeomorphisms from the interior of intuitionistic fuzzy interpretation triangle to the complex plane. Based on such homeo...Show MoreMetadata
Abstract:
In this paper, we propose a method to construct homeomorphisms from the interior of intuitionistic fuzzy interpretation triangle to the complex plane. Based on such homeomorphisms, we define concepts of pure intuitionistic fuzzy sets and pure intuitionistic fuzzy numbers, and obtain some properties of these new concepts. In addition, we prove that all the pure intuitionistic fuzzy numbers form a field, whose arithmetic operations are given. Finally, we use two numerical examples to show computational skills in such field.
Published in: IEEE Transactions on Fuzzy Systems ( Volume: 24, Issue: 2, April 2016)
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- IEEE Keywords
- Index Terms
- Complex Plane ,
- Fuzzy Numbers ,
- Intuitionistic Fuzzy Sets ,
- Intuitionistic Fuzzy ,
- Intuitionistic Fuzzy Numbers ,
- Atanassov's Intuitionistic Fuzzy Sets ,
- Arithmetic Operations ,
- Bicontinuous ,
- Universe ,
- Numerical Calculations ,
- Complex Numbers ,
- Choice Of Function ,
- 2-dimensional Space ,
- Additive Inverse
- Author Keywords
- Author Free Keywords
Contents Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Complex Plane ,
- Fuzzy Numbers ,
- Intuitionistic Fuzzy Sets ,
- Intuitionistic Fuzzy ,
- Intuitionistic Fuzzy Numbers ,
- Atanassov's Intuitionistic Fuzzy Sets ,
- Arithmetic Operations ,
- Bicontinuous ,
- Universe ,
- Numerical Calculations ,
- Complex Numbers ,
- Choice Of Function ,
- 2-dimensional Space ,
- Additive Inverse
- Author Keywords
- Author Free Keywords
