Pentagonal fuzzy number, its properties and application in fuzzy equation

Mondal, Sankar Prasad; Mandal, Mahasweta

doi:10.1016/j.fcij.2017.09.001

Cited by 42 publications

(18 citation statements)

References 3 publications

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“…The following fuzzy Table 2 is used to convert linguistic comments to numbers firstly [50]. There are many methods for fuzzy numbers, including triangular fuzzy and pentagonal fuzzy, but in this paper the simple fuzzy method is used to show other aspects of research [26,29,30].…”

Section: Calculating Unknown Valuesmentioning

confidence: 99%

Analysis and classification of companies on tehran stock exchange with incomplete information

et al. 2021

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Due to uncertainty and large number of companies in financial market, it has become difficult to choose the right stock to investments. Identifying and classifying stocks using fundamental criteria help investors to better understand the risks involved in selecting companies and better manage their own capital, thereby rapidly and accurately choose their preferred stock and make more secure profit. The main concern that capital market investors are facing difficulty to choosing the right stock despite the uncertainties in the market. Uncertainties in the market that lead to incomplete information are presented in this article to complete the reciprocal preference relation method. The purpose of this paper is to present a method for completing information to reduce the uncertainties in the market and finally classify companies in each industry based on fundamental criteria. The classification method used is acceptability / reject ability which is based on distance fuzzy analysis yields more accurate results. Finally, a case study on one of the most critical industries in Tehran Stock Exchange is presented to show the effectiveness of the proposed approach.

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Section: Calculating Unknown Valuesmentioning

confidence: 99%

Analysis and classification of companies on tehran stock exchange with incomplete information

et al. 2021

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“…Mandal [28] Linear and non-linear Define symmetric and asymmetric PFN Fuzzy equation Table 3. Verbal phrase of different uncertain parameters.…”

Section: Mondal Andmentioning

confidence: 99%

“…Definition 4. Pentagonal fuzzy number (PFN): [28] A PFN A = (a 1 , a 2 , a 3 , a 4 , a 5 ) should satisfy the following condition:…”

Section: Pfn and Its Different Representationsmentioning

confidence: 99%

“…Definition 5. Linear PFN with symmetry: [28] A linear PFN is written as A LS = (a 1 , a 2 , a 3 , a 4 , a 5 ; k) whose corresponding membership function is written as…”

Section: Linear Pfn With Symmetrymentioning

confidence: 99%

“…Definition 6. α-cut or the parametric form of linear PFN with symmetry: [28] α-cut or parametric form of LPFNS is written by the formulae…”

Section: Linear Pfn With Symmetrymentioning

confidence: 99%

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The Pentagonal Fuzzy Number:Its Different Representations, Properties, Ranking, Defuzzification and Application in Game Problems

et al. 2019

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In this paper, different measures of interval-valued pentagonal fuzzy numbers (IVPFN) associated with assorted membership functions (MF) were explored, considering significant exposure of multifarious interval-valued fuzzy numbers in neoteric studies.Also, the idea of MF is generalized somewhat to nonlinear membership functions for viewing the symmetries and asymmetries of the pentagonal fuzzy structures. Accordingly,the construction of level sets, for each case of linear and nonlinear MF was also carried out. Besides, defuzzification was undertaken using three methods and a ranking method, which were also the main features of this framework.The developed intellects were implemented in a game problem by taking the parameters as PFNs, ultimately resulting in a new direction for modeling real world problems and to comprehend the uncertainty of the parameters more precisely in the evaluation process.

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A Ranking Method of Hexagonal Fuzzy Numbers Based on Their Possibilistic Mean Values

Leela-apiradee

Thipwiwatpotjana

2019

Advances in Intelligent Systems and Computing

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Pentagonal fuzzy number, its properties and application in fuzzy equation

Cited by 42 publications

References 3 publications

Analysis and classification of companies on tehran stock exchange with incomplete information

Analysis and classification of companies on tehran stock exchange with incomplete information

The Pentagonal Fuzzy Number:Its Different Representations, Properties, Ranking, Defuzzification and Application in Game Problems

A Ranking Method of Hexagonal Fuzzy Numbers Based on Their Possibilistic Mean Values

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