Intuitionistic fuzzy Dombi aggregation operators and their application to multiple attribute decision-making

Seikh, Mijanur Rahaman; Mandal, Utpal

doi:10.1007/s41066-019-00209-y

Cited by 139 publications

(73 citation statements)

References 55 publications

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“…Linguistic picture fuzzy Dombi AOs and their application in decision-making problems have been discussed by Qiyas et al (2019). Based on operational laws of Dombi intuitionistic fuzzy AOs, Seikh and Mandal (2019) defined a series of AOs under intuitionistic fuzzy environment and utilized to develop a new MAGDM model with uncertain information. Later, Akram et al (2019) introduced various new Dombi AOs under Pythagorean fuzzy environment with some substantial characteristics like idempotency, monotonicity, boundedness, reducibility, and Commutativity.…”

Section: Dombi Operatorsmentioning

confidence: 99%

FUCOM-MARCOS based Group Decision-making using Dombi Power Aggregation of Dual Probabilistic Linguistic Information

Saha

Mishra²,

Rani

2021

Preprint

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The dual probabilistic linguistic (DPL) term sets are considered superior to probabilistic linguistic term sets. The power average operator can lessen the effects of the extreme assessing data from some decision-makers with prejudice. Further, the Dombi operators are quite flexible with the general parameter during the aggregation process. Moreover, based on deviation from the maximum consistency by the exclusion of the concern of the redundancy of the comparisons made in criteria pairs, FUCOM (full consistency method) is utilized as a subjective criteria weight computing model. Besides, MARCOS (Measurements alternatives and ranking according to compromise solution) method is based on the determination of utility degrees according to the distance from anti-ideal and ideal solutions and their aggregations. In this study, we combine the merits of power average operator, Dombi operator, FUCOM technique and MARCOS for dealing with multi-criteria group decision-making (MCGDM) problems under a DPL setting where rank of the alternatives are obtained through MARCOS method. For aggregating decision-experts preferences, we propose two types of operators, namely- DPL Dombi power weighted averaging and DPL Dombi power weighted geometric aggregation operators. We discuss the elegant properties of these proposed aggregation operators. We provide a case study regarding open source software learning management system selection to focus the practicability and usefulness of the proposed approach. Furthermore, we perform a sensitivity assessment on diverse criteria weight sets in order to test the stability of our developed intriguing approach. To this effect, we also provide a comparison between our approach with various extant methods.

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Section: Dombi Operatorsmentioning

confidence: 99%

FUCOM-MARCOS based Group Decision-making using Dombi Power Aggregation of Dual Probabilistic Linguistic Information

Saha

Mishra²,

Rani

2021

Preprint

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“…In this approach, the ideal choice is known to be the supreme choice of PDAS and also the smaller value of NDAS. Furthermore, to find the effectiveness of the analyzed IFR-EDAS methodology, a comparative study is carried out in relation to certain established approaches [3,4,11,12,26,27,33,34,[41][42][43]49]. e result which we compare with other methods is presented in Table 10.…”

Section: Comparative Studymentioning

confidence: 99%

“…e definition of IFDWA/G intuitionistic fuzzy Dombi weighting average and geometric operators was established by Seikh and Mandal [11]. On the basis of Hamacher t-norm and t-conorm, Huang [12] proposed various aggregation operators.…”

Section: Introductionmentioning

confidence: 99%

A Novel Approach on the Intuitionistic Fuzzy Rough Frank Aggregation Operator‐Based EDAS Method for Multicriteria Group Decision‐Making

et al. 2021

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The basic ideas of rough sets and intuitionistic fuzzy sets (IFSs) are precise statistical instruments that can handle vague knowledge easily. The EDAS (evaluation based on distance from average solution) approach plays an important role in decision-making issues, particularly when multicriteria group decision-making (MCGDM) issues have more competing criteria. The purpose of this paper is to introduce the intuitionistic fuzzy rough Frank EDAS (IFRF-EDAS) methodology based on IF rough averaging and geometric aggregation operators. We proposed various aggregation operators such as IF rough Frank weighted averaging (IFRFWA), IF rough Frank ordered weighted averaging (IFRFOWA), IF rough Frank hybrid averaging (IFRFHA), IF rough Frank weighted geometric (IFRFWG), IF rough Frank ordered weighted geometric (IFRFOWG), and IF rough Frank hybrid geometric (IFRFHG) on the basis of Frank t-norm and Frank t-conorm. Information is given for the basic favorable features of the analyzed operator. For the suggested operators, a new score and precision functions are described. Then, using the suggested method, the IFRF-EDAS method for MCGDM and its stepwise methodology are shown. After this, a numerical example is given for the established model, and a comparative analysis is generally articulated for the investigated models with some previous techniques, showing that the investigated models are much more efficient and useful than the previous techniques.

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“…By using the notion of Einstein norm, Wang and Liu [9,10] presented IF Einstein weighted averaging and geometric operators. Seikh and Mandal [11] developed the notion of IF Dombi weighted averaging and geometric (IFDWA/G) operators and presented its application in DM. By using concept Hamacher t-norm and t-conorm Huang [12] developed IF Hamacher weighted averaging, ordered weighted averaging and hybrid averaging (IFHWA/ IFHOWA/ IFHHA) operators and originated their important characteristics which are investigated broadly.…”

Section: Introductionmentioning

confidence: 99%

EDAS Method for Multi-Criteria Group Decision Making Based on Intuitionistic Fuzzy Rough Aggregation Operators

et al. 2021

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Intuitionistic fuzzy Dombi aggregation operators and their application to multiple attribute decision-making

Cited by 139 publications

References 55 publications

FUCOM-MARCOS based Group Decision-making using Dombi Power Aggregation of Dual Probabilistic Linguistic Information

FUCOM-MARCOS based Group Decision-making using Dombi Power Aggregation of Dual Probabilistic Linguistic Information

A Novel Approach on the Intuitionistic Fuzzy Rough Frank Aggregation Operator‐Based EDAS Method for Multicriteria Group Decision‐Making

EDAS Method for Multi-Criteria Group Decision Making Based on Intuitionistic Fuzzy Rough Aggregation Operators

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