Results 11 to 20 of about 1,161 (186)
Generalized Fuzzy Additive Operators on Intuitionistic Fuzzy Sets and Interval-Valued Intuitionistic Fuzzy Sets and Their Application [PDF]
This paper unifies the classical intuitionistic fuzzy additive and multiplicative operations and proposes a generalized intuitionistic fuzzy additive operation and a generalized interval-valued intuitionistic fuzzy additive operation.
F. W. Zhang +7 more
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On the weak intuitionistic fuzzy implication based on △ operation [PDF]
In this paper, a new weak intuitionistic fuzzy implication is introduced. Fulfillment of some axioms and properties, together with the Modus Ponens and Modus Tollens inference rules are investigated. Negation induced by the newly proposed implication is presented.
Lilija Atanassova, Piotr Dworniczak
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Intuitionistic fuzzy unitary operator on intuitionistic fuzzy Hilbert space
In this paper, we define Intuitionistic fuzzy unitary operator (IFU-operator) on an intuitionistic fuzzy Hilbert space (IFH-space). An operator \(\mathfrak{U} \in I F B(\mathbb{H})\) is intuitionistic fuzzy unitary operator if \(\mathfrak{U} \mathfrak{U}^*=I=\mathfrak{U}^* \mathfrak{U}\) i.e. it is an isomorphism of \(\mathbb{H}\) onto itself.
null A. Radharamani, null S. Maheswari
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An approach to multiple attribute group decision making based on linguistic intuitionistic fuzzy numbers [PDF]
Motivated by intuitionistic fuzzy sets and fzzy linguistic approach, this article proposes the concept of linguistic intuitionistic fuzzy numbers (LIFNs) where membership and and nonmembership are represented as linguistic terms.
Zichun Chen, Penghui Liu, Zheng Pei
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Intuitionistic Fuzzy Rough Approximation Operators
Since upper and lower approximations could be induced from the rough set structures, rough sets are considered as approximations. The concept of fuzzy rough sets was proposed by replacing crisp binary relations with fuzzy relations by Dubois and Prade.
Sang Min Yun, Seok Jong Lee
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This paper focuses on the multiattribute group decision making problems with linguistic intuitionistic fuzzy information. Firstly the concept of linguistic intuitionistic fuzzy numbers (LIFNs) is introduced, and then based on the LIFNs, some new ...
Peide Liu, Xi Liu
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An approach to Atanassov's interval-valued intuitionistic fuzzy multi-attribute decision making based on prospect theory [PDF]
Prospect theory is a very effective method to express behavioral decision making under uncertainty. This paper attempts to develop a method to multi-attribute decision making with Atanassov's interval-valued intuitionistic fuzzy information using ...
Fanyong Meng +2 more
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The aim of this work is to present some aggregation operators with triangular intuitionistic fuzzy numbers and study their desirable properties. Firstly, the score function and the accuracy function of triangular intuitionistic fuzzy number are given ...
Liang Changyong +2 more
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The n-intuitionistic polygonal fuzzy set (n-IPFS), combined by the intuitionistic fuzzy and polygonal fuzzy sets, is an extended form of the triangular intuitionistic fuzzy set (TIFS) and the trapezoidal intuitionistic fuzzy set (TrIFS).
Xiuli Geng, Yang Ma
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Intuitionistic fuzzy information aggregation plays an important role in intuitionistic fuzzy set theory and is widely used in group decision making.
Qifeng Wang, Hongbo Lv
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