Hybridizations of generalized Dombi operators and Bonferroni mean operators under dual probabilistic linguistic environment for group decision‐making

Saha, Abhijit; Senapati, Tapan; Yager, Ronald R.

doi:10.1002/int.22563

Cited by 40 publications

(11 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Currently, these aggregation approaches are mostly used in medical diagnosis, decision-making, and cluster analysis. Artificial intelligence, data mining, information retrieval, machine learning, portfolio selection, 39 real estate company selection, 40 and other domains in uncertain cases [41][42][43][44][45][46][47][48][49] are all exciting areas for future research.…”

Section: Discussionmentioning

confidence: 99%

Novel Aczel–Alsina operations‐based interval‐valued intuitionistic fuzzy aggregation operators and their applications in multiple attribute decision‐making process

Senapati

Chen

Mesiar

et al. 2021

Int J of Intelligent Sys

Self Cite

View full text Add to dashboard Cite

In the creation of better multiple attribute decisionmaking (MADM) patterns to address the ambiguity in the expanding sophisticated of expert systems, the hypothesis of interval-valued intuitionistic fuzzy sets has proven to be an effective and advantageous technique. We employ Aczel-Alsina operations to remedy the MADM issue, wherein all data supplied by decisionmakers is conveyed as interval-valued intuitionistic fuzzy (IVIF) decision matrices with all components described by an IVIF number (IVIFN). This allows us to satisfy much more demands from fuzzy decisionmaking concerns (IVIFN). In the framework of IVIFNs, we primarily describe several novel Aczel-Alsina operations. On the basis of these operations, we construct several novel IVIF aggregation operators, such as the IVIF Aczel-Alsina weighted averaging operator, the IVIF Aczel-Alsina order weighted averaging operator, and IVIF Aczel-Alsina hybrid averaging operator. We built up several features of such operators. We recommend an MADM technique dependent on the advanced IVIF aggregation operators.To demonstrate the effectiveness of the developed technique, we present an overview of research scientist

show abstract

Section: Discussionmentioning

confidence: 99%

Novel Aczel–Alsina operations‐based interval‐valued intuitionistic fuzzy aggregation operators and their applications in multiple attribute decision‐making process

Senapati

Chen

Mesiar

et al. 2021

Int J of Intelligent Sys

Self Cite

View full text Add to dashboard Cite

show abstract

“…This requirement gives the suggested technique a lot of flexibility and reliability. In our ongoing investigation, we plan to develop these aggregation operators further so that they can be used to the ''probabilistic uncertain linguistic term set'' [41,46,56,64], ELICIT information [22] and Consensus Reaching Processes [11,21,23,40].…”

Section: Discussionmentioning

confidence: 99%

Selection of Appropriate Global Partner for Companies Using q-Rung Orthopair Fuzzy Aczel–Alsina Average Aggregation Operators

Senapati

Martínez

Chen

2022

Int. J. Fuzzy Syst.

Self Cite

View full text Add to dashboard Cite

The term “q-Rung orthopair fuzzy sets ($$q^{r}$$ q r OFSs)” refers to the collection of the most differentiated ideas for expressing fuzzy data in decision-making rules. The $$q^{r}$$ q r OFSs can gradually adapt the region of information by adjusting the parameter $$q \ge 1$$ q ≥ 1 in response to the fluctuation degree, so assisting in the generation of more numerous possibilities. Aczel–Alsina triangular norm and conorm are superior operations that may create general and adaptable working principles for aggregating arguments. To make use of $$q^{r}$$ q r OFSs and Aczel–Alsina triangular norms in “multiple attribute decision-making (MADM)” issues, a few q-rung orthopair fuzzy ($$q^{r}$$ q r OF) Aczel–Alsina aggregation operators: $$q^{r}$$ q r OF Aczel–Alsina weighted average ($$q^{r}$$ q r OFAAWA) operator, $$q^{r}$$ q r OF Aczel–Alsina order weighted average ($$q^{r}$$ q r OFAAOWA) operator, $$q^{r}$$ q r OF Aczel–Alsina hybrid average ($$q^{r}$$ q r OFAAHA) operator for aggregating $$q^{r}$$ q r OFSs are exhibited in this article to fix the MADM issues based on $$q^{r}$$ q r OFSs. Some significant properties are additionally demonstrated. A technique for taking care of the MADM issues is proposed based on these created operators. The adequacy of the suggested technique is shown by means of a numerical example on enterprise partner selection, a lot of investigations and correlations with other existing strategies. The sensitivity of the proposed aggregation operators to decision-making findings is investigated. The demonstration outcomes suggest that the suggested technique has fulfilling universality and adaptability in aggregating $$q^{r}$$ q r OF data and acquiring the correlations of criteria and the attitudes of “decision-makers (DMs)” and is doable and compelling for taking care of the MADM issues dependent on $$q^{r}$$ q r OFSs.

show abstract

“…Ganguly et al [25] discussed a model for plant identification using Bonferroni mean operator. Similar to this, several scholars [26][27][28][29][30] investigated and grouped their findings using Bonferroni mean aggregation operators, considering the crucial role and significance of these operators.…”

Section: Introductionmentioning

confidence: 86%

Multiple Attribute Decision-Making Based on Bonferroni Mean Operators under Square Root Fuzzy Set Environment

Radenović

Ali

Shaheen

et al. 2022

JCCE

View full text Add to dashboard Cite

The intuitionistic fuzzy set, which has a membership and non-membership degree, is a controlling and effective device for dealing with fuzziness and uncertainty. Recently, the square root fuzzy set (SR-FS) which is one of the efficient generalizations of an intuitionistic fuzzy set (IFS) for dealing with uncertainty and haziness in information has been introduced. In this study, a novel method for multiple attribute decision-making (MADM) based on SR-Fuzzy information is investigated. Since aggregation operators are significant in the decision-making process. To achieve this goal, the current paper suggests a variety of novel Bonferroni Mean and Weighted Bonferroni Mean operators to aggregate the SR-Fuzzy values for the various decision-maker preferences. SR-Fuzzy Bonferroni Mean (SRFBM) operator and weighted SR-Fuzzy Bonferroni Mean (WSRFBM) operator are established and describes their properties. Then, we construct a MADM approach using the proposed operators for the SR-Fuzzy information and proved the approach with a mathematical example. In the end, a comparative study of the developed and existing approaches has been discussed to evaluate the pertinency and practicality of the proposed DM technique.

show abstract

Hybridizations of generalized Dombi operators and Bonferroni mean operators under dual probabilistic linguistic environment for group decision‐making

Cited by 40 publications

References 37 publications

Novel Aczel–Alsina operations‐based interval‐valued intuitionistic fuzzy aggregation operators and their applications in multiple attribute decision‐making process

Novel Aczel–Alsina operations‐based interval‐valued intuitionistic fuzzy aggregation operators and their applications in multiple attribute decision‐making process

Selection of Appropriate Global Partner for Companies Using q-Rung Orthopair Fuzzy Aczel–Alsina Average Aggregation Operators

Multiple Attribute Decision-Making Based on Bonferroni Mean Operators under Square Root Fuzzy Set Environment

Contact Info

Product

Resources

About