Spherical fuzzy Dombi aggregation operators and their application in group decision making problems

Ashraf, Shahzaib; Abdullah, Saleem; Mahmood, Tahir

doi:10.1007/s12652-019-01333-y

Cited by 154 publications

(95 citation statements)

References 36 publications

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“…Reformat and Yager applied the P yF S in handling the collaborative-based recommender system [24]. In [25], Peng defines several distance, similarity, entropy and inclusion measures for P yF S and their relations between them.Ashraf [26][27][28] defines the spherical fuzzy sets SF Ss, which is the successful extension of picture fuzzy sets and P yF S, by putting a new condition on positive membership ξ, neutral membership η and negative membership functions ν, i.e., 0 ≤ ξ 2 + η 2 + ν 2 ≤ 1. This new condition expand the domain of membership functions like if we have ξ = 0.7, η = 0.5 and ν = 0.5, then we cannot deal it with picture fuzzy set because 0.7 + 0.5 + 0.5 ≥ 1 but 0.7 2 + 0.5 2 + 0.5 2 = 0.49 + 0.25 + 0.25 = 0.99 ≤ 1 and hence SF S applied successfully.…”

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confidence: 99%

Distance and Similarity Measures for Spherical Fuzzy Sets and Their Applications in Selecting Mega Projects

et al. 2020

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A new condition on positive membership, neutral membership, and negative membership functions give us the successful extension of picture fuzzy set and Pythagorean fuzzy set and called spherical fuzzy sets ( SFS ) . This extends the domain of positive membership, neutral membership, and negative membership functions. Keeping in mind the importance of similarity measure and application in data mining, medical diagnosis, decision making, and pattern recognition, several studies on similarity measures have been proposed in the literature. Some of those, however, cannot satisfy the axioms of similarity and provide counter-intuitive cases. In this paper, we proposed the set-theoretic similarity and distance measures. We provide some counterexamples for already proposed similarity measures in the literature and shows that how our proposed method is important and applicable to the pattern recognition problems. In the end, we provide an application of a proposed similarity measure for selecting mega projects in under developed countries.

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confidence: 99%

Distance and Similarity Measures for Spherical Fuzzy Sets and Their Applications in Selecting Mega Projects

et al. 2020

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“…Lastly, the example of best company selection was given to prove the proposed technique and to establish its practicability and effectiveness. Our future work is to explore the application of 2TSFLNs in many other researches [46,48,49].…”

Section: Discussionmentioning

confidence: 99%

“…Huanhuan et al [47] defined linguistic spherical fuzzy set, combining the idea of linguistic fuzzy set and spherical fuzzy set. Shahzaib et al [48] defined some spherical fuzzy aggregation operators, using Dombi operation, discussed their application on decision making, and also discussed the representation of spherical fuzzy t-norm and t-conorm in [49].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Decision Support System Based on 2-Tuple Spherical Fuzzy Linguistic Aggregation Information

et al. 2019

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The aim of this paper is to propose the 2-tuple spherical fuzzy linguistic aggregation operators and a decision-making approach to deal with uncertainties in the form of 2-tuple spherical fuzzy linguistic sets. 2-tuple spherical fuzzy linguistic operators have more flexibility than general fuzzy set. We proposed a numbers of aggregation operators, namely 2-tuple spherical fuzzy linguistic weighted average, 2-tuple spherical fuzzy linguistic ordered weighted average, 2-tuple spherical fuzzy linguistic hybrid average, 2-tuple spherical fuzzy linguistic weighted geometric, 2-tuple spherical fuzzy linguistic ordered geometric, and 2-tuple spherical fuzzy linguistic hybrid geometric operators. The distinguishing feature of these proposed operators is studied. At that point, we have used these operators to design a model to deal with multiple attribute decision-making issues under the 2-tuple spherical fuzzy linguistic information. Then, a practical application for best company selection for feeds is given to prove the introduced technique and to show its practicability and effectiveness. Besides this, a systematic comparison analysis with other existent methods is conducted to reveal the advantage of our method. Results indicate that the proposed method is suitable and effective for decision making problems.

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“…We use the accumulation operator to combine all the individual SFPRs R t = (r (t) pq ) 5×5 (t = 1, 2, 3, 4, 5, 6) into the collective R = (r pq ) 5×5 . Here, we use spherical fuzzy weighted averagingSFWA operator [41] to combine the individual SFPR. Thus, we have We find the collective SFPR: In the directed model relating to a collective SFPR above, as shown in Figure 19, we select those spherical fuzzy numbers whose truthness degrees α pq ≥ 0.5 (p, q = 1, 2, 3, 4, 5), and resulting partial model is shown in Figure 20.…”

Section: Definition 22 a Spherical Fuzzy Preference Relation R On A mentioning

confidence: 99%

“…Thus, the best choice is a 3 . Now, using a spherical fuzzy weighted geometric (SFWG) operator [41],…”

Section: Of 32mentioning

confidence: 99%

Spherical Fuzzy Graphs with Application to Decision-Making

Akram

Saleem

Al-Hawary

2020

MCA

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In a network model, the evaluation information given by decision makers are occasionally of types: yes, abstain, no, and refusal. To deal with such problems, we use mathematical models based on picture fuzzy sets. The spherical fuzzy model is more versatile than the picture fuzzy model as it broadens the space of uncertain and vague information, due to its outstanding feature of vast space of participation of acceptable triplets. Graphs are a mathematical representation of networks. Thus to deal with many real-world phenomena represented by networks, spherical fuzzy graphs can be used to model different practical scenarios in a more flexible manner than picture fuzzy graphs. In this research article, we discuss two operations on spherical fuzzy graphs (SFGs), namely, symmetric difference and rejection; and develop some results regarding their degrees and total degrees. We describe certain concepts of irregular SFGs with several important properties. Further, we present an application of SFGs in decision making.

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Spherical fuzzy Dombi aggregation operators and their application in group decision making problems

Cited by 154 publications

References 36 publications

Distance and Similarity Measures for Spherical Fuzzy Sets and Their Applications in Selecting Mega Projects

Distance and Similarity Measures for Spherical Fuzzy Sets and Their Applications in Selecting Mega Projects

Analysis of Decision Support System Based on 2-Tuple Spherical Fuzzy Linguistic Aggregation Information

Spherical Fuzzy Graphs with Application to Decision-Making

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