The Projection Model with Unknown Weight Information under Interval Neutrosophic Environment and Its Application to Software Quality-in-Use Evaluation

Wang, Tongjuan

doi:10.1155/2020/7279420

Cited by 3 publications

(3 citation statements)

References 49 publications

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“…Zhang et al [49] used interval neutrosophic sets as a concept for multi-criteria decision-making problems, and many other researchers also introduced novel models based on neutrosophic theory [50,51]. In an interval neutrosophic context, Wang, T. [52] presented a projection structure that incorporates unknown weight information [53,54] for software quality-in-use evaluation. The definition of the fermatean neutrosophic set (FNS) was given by Jansi [55], and it was motivated by the fermatean fuzzy set (FFS) [56].…”

Section: Literature Reviewmentioning

confidence: 99%

Enhancing Transportation Efficiency with Interval-Valued Fermatean Neutrosophic Numbers: A Multi-Item Optimization Approach

Kamran,

Nadeem,

Żywiołek

et al. 2024

Symmetry

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In this study, we derive a simple transportation scheme by post-optimizing the costs of a modified problem. The strategy attempts to make the original (mainly feasible) option more practicable by adjusting the building components’ costs. Next, we employ the previously mentioned cell or area cost operators to gradually restore the modified costs to their initial levels, while simultaneously implementing the necessary adjustments to the “optimal” solution. This work presents a multi-goal, multi-item substantial transportation problem with interval-valued fuzzy variables, such as transportation costs, supplies, and demands, as parameters to maintain the transportation cost. This research addresses two circumstances where task ambiguity may occur: the interval solids transportation problem and the fuzzy substantial transportation issue. In the first scenario, we express data problems as intervals instead of exact values using an interval-valued fermatean neutrosophic number; in the second case, the information is not entirely obvious. We address both models when uncertainty solely affects the constraint set. For the interval scenario, we define an additional problem to solve. Our existing efficient systems have dependable transportation, so they are also capable of handling this new problem. In the fuzzy case, a parametric technique generates a fuzzy solution to the preceding problem. Since transportation costs have a direct impact on market prices, lowering them is the primary goal. Using parametric analysis, we provide optimal parameterization solutions for complementary situations. We provide a recommended algorithm for determining the stability set. In conclusion, we offer a sensitivity analysis and a numerical example of the transportation problem involving both balanced and imbalanced loads.

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Section: Literature Reviewmentioning

confidence: 99%

Enhancing Transportation Efficiency with Interval-Valued Fermatean Neutrosophic Numbers: A Multi-Item Optimization Approach

Kamran,

Nadeem,

Żywiołek

et al. 2024

Symmetry

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“…Zhang et al [21] applied the concept of Interval neutrosophic sets in multicriteria decision-making problems. Wang, T [22] introduced a projection model with unknown weight information within an interval neutrosophic environment and applied it to software quality-in-use evaluation. Another class of the N set is the IV NP set with the dependent interval-valued Pythagorean component, proposed by Stephy and Helen [13].…”

Section: Introductionmentioning

confidence: 99%

Faculty Performance Evaluation through Multi-Criteria Decision Analysis Using Interval-Valued Fermatean Neutrosophic Sets

Broumi,

Sundareswaran,

Shanmugapriya

et al. 2023

Mathematics

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The Neutrosophic Set (𝑁𝑠𝑒𝑡) represents the uncertainty in data with fuzzy attributes beyond true and false values independently. The problem arises when the summation of true (𝓣𝒓), false (𝓕𝒂), and indeterminacy 𝓘𝒏 values crosses the membership value of one, that is, 𝓣𝒓 + 𝓘𝒏 + 𝓕𝒂 < 1. It becomes more crucial during decision-making processes like medical diagnoses or any data sets where 𝓣𝒓 +𝓘𝒏 + 𝓕𝒂 < 1. To achieve this goal, the 𝐹𝑁𝑠𝑒𝑡 is recently introduced. This study employs the Interval-Valued Fermatean Neutrosophic Set (𝐼𝑉𝐹𝑁𝑠𝑒𝑡) as its chosen framework to address instances of partial ignorance within the domains of truth, falsehood, or uncertainty. This selection stands out due to its unique approach to managing such complexities within multi-decision processes when compared to alternative methodologies. Furthermore, the proposed method reduces the propensity for information loss often encountered in other techniques. IVFNS excels at preserving intricate relationships between variables even when dealing with incomplete or vague information. In the present work, we introduce the 𝐼𝑉𝐹𝑁𝑠𝑒𝑡, which deals with partial ignorance in true, false, or uncertain regions independently for multi-decision processes. The 𝐼𝑉𝐹𝑁𝑠𝑒𝑡 contains the interval-valued 𝓣𝒓𝒎𝒆𝒎𝒃𝒆𝒓𝒔𝒉𝒊𝒑 value, 𝓘𝒏𝒎𝒆𝒎𝒃𝒆𝒓𝒔𝒉𝒊𝒑 value, and 𝓕𝒂𝒎𝒆𝒎𝒃𝒆𝒓𝒔𝒉𝒊𝒑 for knowledge representation. The algebraic properties and set theory between the interval-valued 𝐹𝑁𝑠𝑒𝑡 have also been presented with an illustrative example.

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“…A series of aggregation operators about SVNS and INS are put forward by Garg and Nancy (2020) and in their mind, both objective factor and subjective factor are considered concurrently. Wang (2020) proposed a new interval neutrosophic MADM method taking example by the projection model. Awang et al (2020) proposed the interval neutrosophic Shapley normalized weighted BM operator.…”

Section: Introductionmentioning

confidence: 99%

CPT-Todim Method for Interval Neutrosophic Magdm and Its Application to Third-Party Logistics Service Providers Selection

Zhang

Zhao

et al. 2021

Technological and Economic Development of Economy

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The multiple attribute group decision making (MAGDM) has always been a concern in the research field. In this article, we establish the interval neutrosophic TODIM method based on cumulative prospect theory (CPT-IN-TODIM) for MAGDM issue. This new developed CPTIN-TODIM method has markedly superiority in describing decision maker’s psychological states, which utilizes the weight function to adjust weighting attributes distinguishing from the classical TODIM method. Then, this new developed method has been applied to select the third-party logistics service providers and been expound on the disparity with existing methods. Finally, the results of contrastive analysis indicate that this new developed method can lead to the appropriate conclusion and sticks out the differences between alternatives to provide clearer direction. Hence, the new developed CPT-IN-TODIM method is reliable and valid.

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The Projection Model with Unknown Weight Information under Interval Neutrosophic Environment and Its Application to Software Quality-in-Use Evaluation

Cited by 3 publications

References 49 publications

Enhancing Transportation Efficiency with Interval-Valued Fermatean Neutrosophic Numbers: A Multi-Item Optimization Approach

Enhancing Transportation Efficiency with Interval-Valued Fermatean Neutrosophic Numbers: A Multi-Item Optimization Approach

Faculty Performance Evaluation through Multi-Criteria Decision Analysis Using Interval-Valued Fermatean Neutrosophic Sets

CPT-Todim Method for Interval Neutrosophic Magdm and Its Application to Third-Party Logistics Service Providers Selection

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