CUT SETS ON TRAPEZOIDAL FUZZY NUMBER AND INTUITIONISTIC FUZZY NUMBER: A NEW PERSPECTIVE [PDF]
M.C. Joe Anand, J. Bharatraj
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A New Ranking Principle For Ordering Trapezoidal Intuitionistic Fuzzy Numbers [PDF]
Modelling real life (industrial) problems using intuitionistic fuzzy numbers is inevitable in the present scenario due to their efficiency in solving problems and their accuracy in the results. Particularly, trapezoidal intuitionistic fuzzy numbers (TrIFNs) are widely used in describing impreciseness and incompleteness of a data.
Lakshmana Gomathi Nayagam Velu +2 more
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Interval-valued intuitionistic trapezoidal fuzzy number and its application
In this paper, we propose the new type of fuzzy number, intuitionistic trapezoidal fuzzy number(ITFN) and intervalvalued intuitionistic trapezoidal fuzzy number(IVITFN), study some properties of them, and investigate some algebraic operations between two IVITFNs. We also present the sorting criteria for IVITFN based on its definition.
Wenyi Zeng, Junhong Li, Ping Guo
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A Novel Possibilistic Variance of Trapezoidal Intuitionistic Fuzzy Number [PDF]
Intuitionistic fuzzy number as the extension of fuzzy number has better capability to model uncertain data in scientifical engineering problem. In this paper, we present a novel possibilistic variance for trapezoidal intuitionistic fuzzy number (TIFN) based on possibility theory.
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Aggregation operators using einstein operations on intuitionistic trapezoidal fuzzy number
A multi-criteria group decision-making method based on Einstein aggregation operations is investigated to solve the decision-making problems under the intuitionistic trapezoidal fuzzy set environment. This study proposes to develop some novel intuitionistic fuzzy Einstein geometric aggregation operators with ITFNs, such as the intuitionistic ...
Shanliang Yang +3 more
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Arithmetic operations of intuitionistic Z numbers using horizontal membership functions [PDF]
An intuitionistic Z-number (IZN) is an integration of an intuitionistic fuzzy number with a Z-number. The IZN composes of two components; restriction and reliability components, which are represented by the membership and non-membership degrees to ...
Nik Muhammad Farhan Hakim, Nik Badrul Alam +2 more
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A Distance Based Similarity Measure on Trapezoidal Intuitionistic Fuzzy Numbers and its Applications
Abstract In this article, a novel distance based similarity measure between any two trapezoidal intuitionistic fuzzy numbers (TraIFNs) is de ned and some of its important properties are proved and validated by numerical examples. It consists of two interrelated modules.
P. Dhanasekaran, S. Kalidasan
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Semi-Analytical Scheme for Solving Intuitionistic Fuzzy System of Differential Equations
The aim of this article is to implement the Generalized Modified Adomian Decomposition Method to compute the semi-numerical solution of the linear system of intuitionistic fuzzy initial value problems.
Mudassir Shams +5 more
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Some notes on possibilistic variances of generalized trapezoidal intuitionistic fuzzy numbers
Intuitionistic fuzzy number as the generalization of fuzzy number has better capability to model uncertain data in management decision science and mathematical engineering problem. In this paper, we present a new definition of possibilistic mean and variance for generalized trapezoidal intuitionistic fuzzy number (GTIFN), and show that some properties ...
Qiansheng Zhang, Dongfang Sun
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The picture fuzzy set is a generation of an intuitionistic fuzzy set. The aggregation operators are important tools in the process of information aggregation.
Huifeng Long, Minxia Luo
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