A Distance Based Similarity Measure on Trapezoidal Intuitionistic Fuzzy Numbers and its Applications
Soft Computing, 2023 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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On Optimizing Neutrosophic Complex Programming Using Lexicographic Order [PDF]
Neutrosophic Sets and Systems, 2020 Neutrosophic sets are considered as a generalization of the crisp set, fuzzy set, and intuitionistic fuzzy set for representing the uncertainty, inconsistency, and incomplete knowledge about the real world problems.
Hamiden Abd El- Wahed Khalifaand +2 more
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A random set and prototype theory interpretation of intuitionistic fuzzy sets [PDF]
, 2010 An interpretation of intuitionistic fuzzy sets is proposed based on random set theory and prototype theory. The extension of fuzzy labels are modelled by lower and upper random set neighbourhoods, identifying those element of the universe within an ...
Lawry, Jonathan, Jonathan Lawry
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Some geometrical methods for constructing contradiction measures on Atanassov's intuitionistic fuzzy sets [PDF]
, 2011 Trillas et al. (1999, Soft computing, 3 (4), 197–199) and Trillas and Cubillo (1999, On non-contradictory input/output couples in Zadeh's CRI proceeding, 28–32) introduced the study of contradiction in the framework of fuzzy logic because of the ...
Torres Blanc, Carmen +5 more
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Gaussian single-valued neutrosophic numbers and its application in multi-attribute decision making [PDF]
Neutrosophic Sets and Systems, 2018 The fuzzy set and intuitionistic fuzzy set are two useful mathematical tool for dealing with impression and uncertainty. However sometimes these theories may not suffice to model indeterminate and inconsistent information encountered in real world.
Faruk Karaaslan
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Semi-Analytical Scheme for Solving Intuitionistic Fuzzy System of Differential Equations
IEEE Access, 2023 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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On intuitionistic fuzzy version of Zadeh’s extension principle
, 2021 In this paper, by using ?-and ?-cuts approach and the intuitionistic fuzzy Zadeh’s extension principle, we have proved a result which reveals that the ?-and ?-cuts of an intuitionistic fuzzy number obtained by the intuitionistic fuzzy Zadeh’s extension ...
Mert, Raziye, Bayeğ, Selami
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Zhejiang Daxue xuebao. Lixue ban, 2022 毕达哥拉斯模糊集（Pythagorean fuzzy set，PFS）是传统直觉模糊集（intuitionistic fuzzy set，IFS）的扩展，能在更广泛区域处理多属性信息决策问题。首先，针对某文献毕达哥拉斯模糊数（Pythagorean fuzzy number，PFN）排序方法存在的错误，分析了其产生原因。其次，在毕达哥拉斯模糊环境下，基于可靠信息量所对应的曲边梯形面积（curved trapezoidal area，CTA）提出了新的得分函数公式，进而给出了PFN的排序准则 ...
TAOYujie(陶玉杰) +1 more
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A novel method of similarity measures of Trapezoidal intuitionistic fuzzy numbers
Malaya Journal of Matematik, 2020 In this paper, we made an extensive analysis of the similarity relation between two trapezoidal intuitionistic fuzzy numbers. We proposed a two similarity measures for trapezoidal intuitionistic fuzzy number using the geometric distance and graded mean. Some numerical examples are listed for justification of the work.
null D. Stephen Dinagar +1 more
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A New Method for Optimal Solution of Intuitionistic Fuzzy Transportation Problems via Generalized Trapezoidal Intuitionistic Fuzzy Numbers [PDF]
Fuzzy Information and Engineering, 2019 In this paper, we introduce the new method for solving the intuitionistic fuzzy transportation problem (IFTP), by using north-west corner method and modified distribution method to find the optimal...
Darunee Hunwisai +2 more
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