Support-Intuitionistic Fuzzy Set: A New Concept for Soft Computing | Zendy

Xuan Thao Nguyen | Zendy; VanDinh Nguyen | Zendy

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Support-Intuitionistic Fuzzy Set: A New Concept for Soft Computing

Author(s) -

Xuan Thao Nguyen,

VanDinh Nguyen

Publication year - 2015

Publication title -

international journal of intelligent systems and applications

Language(s) - English

Resource type - Journals

eISSN - 2074-9058

pISSN - 2074-904X

DOI - 10.5815/ijisa.2015.04.02

Subject(s) - computer science , type 2 fuzzy sets and systems , fuzzy set , fuzzy set operations , soft computing , field (mathematics) , set (abstract data type) , extension (predicate logic) , soft set , fuzzy logic , fuzzy classification , fuzzy mathematics , algebra over a field , theoretical computer science , algorithm , artificial intelligence , mathematics , pure mathematics , programming language

Today, soft computing is a field that is used a lot in solving real-world problems, such as problems in economics, finance, banking... With the aim to serve for solving the real problem, many new theories and/or tools which were proposed, improved to help soft computing used more efficiently. We can mention some theories as fuzzy sets theory (L. Zadeh, 1965), intuitionistic fuzzy set (K Atanasov, 1986). In this paper, we introduce a new notion of support-intuitionistic fuzzy (SIF) set, which is the combination a intuitionistic fuzzy set with a fuzzy set. So, SIF set is a directly extension of fuzzy set and intuitionistic fuzzy sets (Atanassov). Then, we define some operators on support-intuitionistic fuzzy sets, and investigate some properties of these operators.

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