Connectivity Status of Intuitionistic Fuzzy Graph and Its Application to Merging of Banks

Bera, Jayanta; Das, Kinkar Ch.; Samanta, Sovan; Lee, Jeong-Gon

doi:10.3390/math11081949

Cited by 8 publications

(6 citation statements)

References 23 publications

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“…These strategies aim to mitigate the chalby ambiguity and hesitation. ory of FS was initially introduced by Zadeh [3] and has since been further y other academics to cater to diverse needs [6][7][8]. A fuzzy set comprises eleed membership functions that generate membership grades (MGs) ranging In 1986, Atanassov [9] proposed the idea of IFS as a means of representing and complex information using membership grades (MGs) and non-…”

Section: Intuitionistic Hesitant Fuzzy Setsmentioning

confidence: 99%

“…These strategies aim to mitigate the chales posed by ambiguity and hesitation. The theory of FS was initially introduced by Zadeh [3] and has since been further eloped by other academics to cater to diverse needs [6][7][8]. A fuzzy set comprises elets assigned membership functions that generate membership grades (MGs) ranging 0 to 1.…”

Section: Introductionmentioning

confidence: 99%

“…The theory of FS was initially introduced by Zadeh [3] and has since been further developed by other academics to cater to diverse needs [6][7][8]. A fuzzy set comprises elements assigned membership functions that generate membership grades (MGs) ranging Abstract: The intuitionistic hesitant fuzzy set is a significant extension of the intuitionistic fuzzy set, specifically designed to address uncertain information in decision-making challenges.…”

Section: Introductionmentioning

confidence: 99%

“…These strategies aim to mitigate the chalby ambiguity and hesitation. ry of FS was initially introduced by Zadeh [3] and has since been further other academics to cater to diverse needs [6][7][8]. A fuzzy set comprises eleed membership functions that generate membership grades (MGs) ranging n 1986, Atanassov [9] proposed the idea of IFS as a means of representing nd complex information using membership grades (MGs) and non- Abstract: The intuitionistic hesitant fuzzy set is a significant extension of the intuitionistic fuzzy set, specifically designed to address uncertain information in decision-making challenges.…”

Section: Introductionmentioning

confidence: 99%

“…[3] and has since been further developed by other academics to cater to diverse needs[6][7][8]. A fuzzy set comprises elements assigned membership functions that generate membership grades (MGs) ranging from 0 to 1.…”

mentioning

confidence: 99%

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An Innovative Decision Model Utilizing Intuitionistic Hesitant Fuzzy Aczel-Alsina Aggregation Operators and Its Application

et al. 2023

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The intuitionistic hesitant fuzzy set is a significant extension of the intuitionistic fuzzy set, specifically designed to address uncertain information in decision-making challenges. Aggregation operators play a fundamental role in combining intuitionistic hesitant fuzzy numbers into a unified component. This study aims to introduce two novel approaches. Firstly, we propose a three-way model for investors in the business domain, which utilizes interval-valued equivalence classes under the framework of intuitionistic hesitant fuzzy information. Secondly, we present a multiple-attribute decision-making (MADM) method using various aggregation operators for intuitionistic hesitant fuzzy sets (IHFSs). These operators include the IHF Aczel–Alsina average (IHFAAA) operator, the IHF Aczel–Alsina weighted average (IHFAAWAϣ) operator, and the IHF Aczel–Alsina ordered weighted average (IHFAAOWAϣ) operator and the IHF Aczel–Alsina hybrid average (IHFAAHAϣ) operators. We demonstrate the properties of idempotency, boundedness, and monotonicity for these newly established aggregation operators. Additionally, we provide a detailed technique for three-way decision-making using intuitionistic hesitant fuzzy Aczel–Alsina aggregation operators. Furthermore, we present a numerical case analysis to illustrate the pertinency and authority of the esteblished model for investment in business. In conclusion, we highlight that the developed approach is highly suitable for investment selection policies, and we anticipate its extension to other fuzzy information domains.

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