Decision-Making Analysis Under Interval-Valued q-Rung Orthopair Dual Hesitant Fuzzy Environment

Naz, Sumera; Akram, Muhammad; Alsulami, Samirah; Ziaa, Faiza

doi:10.2991/ijcis.d.201204.001

“…When dealing with a limited number of alternatives on predetermined attributes, multiple attribute decision-making (MADM) [18][19][20][21][22] has always been employed as an efficient strategy for assessment in order to select the most acceptable one among them. e expression of the attributes is a significant issue in the decision-making procedure.…”

Section: Literature Review and Motivationmentioning

confidence: 99%

Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic $T$ -Spherical Fuzzy Sets

Naz

¹

,

Akram

²

,

Muhiuddin

³

et al. 2022

Mathematical Problems in Engineering

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The coronavirus (COVID-19) pandemic, which began in China and is fast spreading around the world, has increased the number of cases and deaths. Governments have suffered substantial damage and losses not only in the health sector but also in a variety of other areas. In this situation, it is critical to determine the most crucial vaccine that doctors and specialists should implement. In order to evaluate the many vaccines to control the COVID-19 epidemic, a decision problem based on the decisions of many experts, with some contradicting and multiple criteria, should be taken into account. This decision process is characterized as a multiattribute group decision-making (MAGDM) problem that includes uncertainty in this study. T -spherical fuzzy sets are utilized for this, allowing decision-experts to make evaluations over a larger area and better deal with complicated data. The T -spherical fuzzy set is a useful tool for dealing with uncertainty and ambiguity, especially where additional answers of the type “yes,” “no,” “abstain,” and “refusal” are required, and the 2-tuple linguistic terms are useful for the qualitative evaluation of uncertain data. From the perspective of the uncertainty surrounding the problems of MAGDM, we propose the notion of 2-tuple linguistic T -spherical fuzzy numbers (2TL T -SFNs) generated with the integration of T -spherical fuzzy numbers and 2-tuple linguistic terms. Then, the assessment based on distance from average solution (EDAS) for the ranking of alternatives based on the 2TL T -SFNs is investigated as a new decision-making strategy. This study provides the following significant contributions: (1) the procedure for constructing a 2TL T -SFNs is described, together with their aggregation operators, ranking criteria, relevant attributes, and some operational laws. (2) The traditional Maclaurin symmetric mean (MSM) operator is useful for modeling attribute interrelationships and aggregating 2TL T -SF information to tackle the MAGDM problems. A few recent MSM and dual MSM operators are being built to evaluate the 2TL T -SF information. Thus, 2-tuple linguistic T -spherical fuzzy Maclaurin symmetric mean (2TL T -SFMSM) operator, 2-tuple linguistic T -spherical fuzzy weighted Maclaurin symmetric mean (2TL T -SFWMSM) operator, 2-tuple linguistic T -spherical fuzzy dual Maclaurin symmetric mean (2TL T -SFDMSM) operator, and 2-tuple linguistic T -spherical fuzzy weighted dual Maclaurin symmetric mean (2TL T -SFWDMSM) operator are proposed. (3) We incorporate the 2TL T -SFNs into the EDAS approach and develop a new 2TL T -SF-EDAS method for solving the MAGDM problems based on the proposed aggregation operators in a 2TL T -SF environment. A case study for the selection of an optimal vaccine to control the outbreak of the COVID-19 epidemic is also presented to show the validity of the proposed methodology. Furthermore, the comparative analysis with existing approaches shows the advantages and superiority of the proposed framework.

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“…Naz and Akram [21,22] developed a new DM approach to deal with the MADM problems based on the graph theory. Recently, many research studies [23][24][25][26][27] have developed several DM methods under generalized fuzzy scenario.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Network Security Service Provider Using 2‐Tuple Linguistic Complex q‐Rung Orthopair Fuzzy COPRAS Method

Naz

¹

,

Akram

²

,

Al-Shamiri

³

et al. 2022

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In recent years, network security has become a major concern. Using the Internet to store and analyze data has become an integral aspect of the production and operation of many new and traditional enterprises. However, many enterprises lack the necessary resources to secure information security, and selecting the best network security service provider has become a real issue for many enterprises. This research introduces a novel decision-making method utilizing the 2-tuple linguistic complex q-rung orthopair fuzzy numbers (2TLCq-ROFNs) to tackle this issue. We propose the 2TLCq-ROF concept by combining the complex q-rung orthopair fuzzy set with 2-tuple linguistic terms, including the fundamental definition, operational rules, scoring, and accuracy functions. Aggregation operators are the fundamental mathematical approach used to combine various inputs into a single output. Taking into account the interaction between the attributes, we develop the 2TLCq-ROF Hamacher (2TLCq-ROFH) operators by using the innovative operational rules. These operators include the 2TLCq-ROFH weighted average (2TLCq-ROFHWA), 2TLCq-ROFH ordered weighted average (2TLCq-ROFHOWA), 2TLCq-ROFH hybrid average (2TLCq-ROFHHA), 2TLCq-ROFH weighted geometric (2TLCq-ROFHWG), 2TLCq-ROFH ordered weighted geometric (2TLCq-ROFHOWG), and 2TLCq-ROFH hybrid geometric (2TLCq-ROFHHG) operators. In addition, we talk about the properties of 2TLCq-ROFH operators such as idempotency, commutativity, monotonicity, and boundedness and also examine their spatial cases. To tackle the problems of the 2TLCq-ROF multiattribute group decision-making (MAGDM) environment, we develop a novel approach according to the COPRAS (complex proportional assessment) model. Finally, to validate the feasibility of the given strategy, we employ a quantitative example related to select the best network security service provider. In comparison with existing approaches, the developed decision-making algorithm is most extensively used and reduces the loss of information.

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“…Moreover, Guleria and Bajaj [37] designed the notion of T-spherical FGs along with the operations. Recently, Naz et al [38,39] extended q-ROFGs to the dual hesitant q-ROF scenario and proposed several types of energy like geometric arithmetic energy, atom bond connectivity energy, Zegrab energy and harmonic energy. Information AO performs a significant role in the decision-making process, especially in MADM.…”

Section: Introductionmentioning

confidence: 99%

Novel Decision Making Framework Based on Complex q-Rung Orthopair Fuzzy Information

Akram

¹

,

Naz

²

,

Ziaa

³

2021

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Assessing uncertainty in decision-making is a major challenge for decision makers (DMs) and the q-rung orthopair fuzzy set (q-ROFS), as the direct extension of intuitionistic fuzzy set (IFS) and pythagorean fuzzy set (PFS) play a crucial role in this aspect. The complex q-rung orthopair fuzzy set (Cq-ROFS) is a strong tool to deal with imprecision, vagueness and fuzziness by expanding the scope of membership degree (MD) and non-membership degree (NMD) of q-ROFS from real to complex unit disc. In this paper, we develop some new Cq-ROF Hamacher aggregation operators (AOs), i.e., the Cq-ROF Hamacher weighted averaging (Cq-ROFHWA) operator, the Cq-ROFH weighted geometric (Cq-ROFHWG) operator, the Cq-ROFH ordered weighted averaging (Cq-ROFHOWA) operator and the Cq-ROFH ordered weighted geometric (Cq-ROFHOWG) operator. Subsequently, we establish a novel Cq-ROF graph framework based on the Hamacher operator called Cq-ROFH graphs (Cq-ROFHGs) and evaluate its energy and Randić energy. In particular, we compute the energy of a splitting Cq-ROFHG and shadow Cq-ROFHG. Further, we describe the notions of Cq-ROFH digraphs (Cq-ROFHDGs). Moreover, an algorithm is given to solve multiple attribute group decision making (MAGDM) problems and the main steps are discussed clearly. Finally, a numerical instance related to the facade clothing systems (FCS) selection is presented to show the affectiveness of the developed concepts in decision-making circumstances. In order to verify the effectiveness of our proposed scheme, a comparative analysis with previous approaches is provided.

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Decision-Making Analysis Under Interval-Valued q-Rung Orthopair Dual Hesitant Fuzzy Environment

Cited by 24 publications

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Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic $T$ -Spherical Fuzzy Sets

Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic $T$ -Spherical Fuzzy Sets

Evaluation of Network Security Service Provider Using 2‐Tuple Linguistic Complex q‐Rung Orthopair Fuzzy COPRAS Method

Novel Decision Making Framework Based on Complex q-Rung Orthopair Fuzzy Information

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Decision-Making Analysis Under Interval-Valued q-Rung Orthopair Dual Hesitant Fuzzy Environment

Cited by 24 publications

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Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic T -Spherical Fuzzy Sets

Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic T -Spherical Fuzzy Sets

Evaluation of Network Security Service Provider Using 2‐Tuple Linguistic Complex q‐Rung Orthopair Fuzzy COPRAS Method

Novel Decision Making Framework Based on Complex q-Rung Orthopair Fuzzy Information

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Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic $T$ -Spherical Fuzzy Sets

Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic $T$ -Spherical Fuzzy Sets