Fundamental Properties With Respect to the Completeness of Intuitionistic Fuzzy Partially Ordered Set

• Published in: IEEE transactions on fuzzy systems Vol. 25; no. 6; pp. 1741 - 1751
• Main Authors: Ai, Zhenghai, Xu, Zeshui, Lei, Qian
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.12.2017; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Calculus; Completeness; Decision making; Fuzzy sets; Indexes; Infimum; Integral equations; intuitionistic fuzzy calculus (IFC); intuitionistic fuzzy partially ordered set; intuitionistic fuzzy set (IFS); Programmable logic arrays; supremum; Systematics

Intuitionistic fuzzy set (A-IFS), originally introduced by Atanassov in 1983, is a generalization of a fuzzy set. The basic elements of an A-IFS are intuitionistic fuzzy values (IFVs), based on which the intuitionistic fuzzy calculus (IFC) has been proposed recently. To avoid relying too much upon t...