Some new logarithmic aggregation operators and their application to group decision making problem based on t-norm and t-conorm

Rahman, Khaista

doi:10.1007/s00500-022-06730-8

Cited by 14 publications

(10 citation statements)

References 36 publications

(26 reference statements)

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“…Keeping in view the importance of these operators, Wei presented the notion of Hamacher and picture fuzzy aggregation operators and also developed multi-attribute group decision making problem based on the proposed operators [4][5][6][7][8][9]. Wang et al, presented the idea of new operators named as Muirhead mean operators using picture fuzzy numbers [10,11]. Rahman developed the notion of several averaging and geometric logarithmic aggregation operators based on intuitionistic fuzzy numbers.…”

Section: Introductionmentioning

confidence: 99%

Multi-Attribute Group Decision-Making Problem Based On Q-Rung Orthopair Fuzzy Set Under Confidence Environment

2024

J Math Techniques Comput Math

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Emergency decision-making for communities and countries is an important and critical tool. It improves the effectiveness and reliability to response emergencies which minimizes the rate of casualties, environmental damages and economic losses. In the event of emergency decision-making, the main issue is extreme imprecision, ambiguity, and fuzziness. This paper is devoted to the study of q‐rung orthopair fuzzy aggregation operators under the confidence levels and their applications to multiple-attribute group decision making (MAGDM) problems. The concept of q-rung orthopair fuzzy set (q-ROFS) is used as tool to describe undetermined information and is superior to the intuitionistic set (IFS) and Pythagorean fuzzy set (PFS). The distinguishing feature of the q-ROFS is that the sum of the q-th power of the membership degree and the q-th power of non-membership degree is bounded by 1. As a result, the range of uncertain information that it may describe is expanded. In this work, we focus on MAGDM problems under the fuzzy environment. First, based on aggregation operators some drawbacks of the already existing MAGDM methods are analyzed. Moreover, we present some modified operational laws and some of their properties to overcome these drawbacks. Next, related to q-ROFS fuzzy-weighted averaging (q-ICROFWA) and fuzzy-weighted power averaging (q-ICROFWPA) aggregation operator under confidence levels along with their properties are presented. By using these operators’ q-ICROFWA and q-ICROFWPA an advanced method is proposed to deal with MAGDM problems in fuzzy environment. At last, the validity and feasibility of this method is illustrated with some numerical examples.

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Section: Introductionmentioning

confidence: 99%

Multi-Attribute Group Decision-Making Problem Based On Q-Rung Orthopair Fuzzy Set Under Confidence Environment

2024

J Math Techniques Comput Math

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“…Xu [7], Xu and Yager [8], Wang and Liu [9,10] presented several methods, such as IFWA operator, IFOWA operator, IFHA operator, IFWG operator, IFOWG operator, IFHG operator, IFEWG operator, IFEOWG operator, IFEHG operator, IFEWA operator, IFEOWA operator, IFEHA operator respectively, under IF environment and applied them on decision-making problems. Rahman et al [11,12] introduced some generalized and logarithmic operators along with their operation and structure properties.…”

Section: Introductionmentioning

confidence: 99%

Complex Fermatean Fuzzy Geometric Aggregation Operators and Their Application on Group Decision-Making Problem Based on Einstein T-Norm and T-Conorm

Rahman

2023

Preprint

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Complex Fermatean fuzzy sets (CFFSs) is one of the successful extension of complex Pythagorean fuzzy sets (CPFSs). The main objective of the paper is to present the notion of complex Fermatean fuzzy sets (CFFSs), and some of their basic operational laws and their corresponding operators, which can represent the time-periodic problems and two-dimensional information in a single set. We introduce various novel methods, namely complex Fermatean fuzzy Einstein weighted geometric (CFFEWG) operator, complex Fermatean fuzzy Einstein ordered weighted geometric (CFFEOWG) operator, complex Fermatean fuzzy Einstein hybrid geometric (CFFEHG) operator, induced complex Fermatean fuzzy Einstein ordered weighted geometric (I-CFFEOWG) operator, and induced complex Fermatean fuzzy Einstein hybrid geometric (I-CFFEHG) operator along with their structure properties, such as idempotency, boundedness and monotonicity. An illustrative example related to the selection of the more suitable location for hospital is to be considered to show the effectiveness and efficiency of the novel approach.

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“…The most striking and imperative tools for handling decision cases in an IF environment, PyF environment, and FeF environment are aggregation operators. Several researchers studied the prominence of operators related to the IF environment in [5][6][7][8][9][10] and presented many operators with this domain for different challenges. Ahmmad et al [11] introduced the Intuitionistic Fuzzy Rough Aczel-Alsina Aggregation Operators.…”

Section: Introductionmentioning

confidence: 99%

Geometric Aggregation Operators for Solving Multicriteria Group Decision-Making Problems Based on Complex Pythagorean Fuzzy Sets

et al. 2023

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The Complex Pythagorean fuzzy set (CPyFS) is an efficient tool to handle two-dimensional periodic uncertain information, which has various applications in fuzzy modeling and decision making. It is known that the aggregation operators influence decision-making processes. Algebraic aggregation operators are the important and widely used operators in decision making techniques that deal with uncertain problems. This paper investigates some complex Pythagorean fuzzy geometric aggregation operators, such as complex Pythagorean fuzzy weighted geometric (CPyFWG), complex Pythagorean fuzzy ordered weighted geometric (CPyFOWG), complex Pythagorean fuzzy hybrid geometric (CPyFHG), induced complex Pythagorean fuzzy ordered weighted geometric (I-CPyFOWG), and induced complex Pythagorean fuzzy hybrid geometric (I-CPyFHG), and their structure properties, such as idempotency, boundedness, and monotonicity. In addition, we compare the proposed model with their existing models, such as complex fuzzy set and complex intuitionistic fuzzy set. We analyze an example involving the selection of an acceptable location for hospitals in order to demonstrate the effectiveness, appropriateness, and efficiency of the novel aggregation operators.

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Some new logarithmic aggregation operators and their application to group decision making problem based on t-norm and t-conorm

Cited by 14 publications

References 36 publications

Multi-Attribute Group Decision-Making Problem Based On Q-Rung Orthopair Fuzzy Set Under Confidence Environment

Multi-Attribute Group Decision-Making Problem Based On Q-Rung Orthopair Fuzzy Set Under Confidence Environment

Complex Fermatean Fuzzy Geometric Aggregation Operators and Their Application on Group Decision-Making Problem Based on Einstein T-Norm and T-Conorm

Geometric Aggregation Operators for Solving Multicriteria Group Decision-Making Problems Based on Complex Pythagorean Fuzzy Sets

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