Design and analysis of acceptance sampling plans based on intuitionistic fuzzy linguistic terms

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Isik G.; KAYA I.

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Journal Paper

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Journal: Iranian Journal of Fuzzy Systems Year:2021 | Volume:18 | Issue:6 Page(s): 101-118

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Information Journal Paper

Title

Design and analysis of acceptance sampling plans based on intuitionistic fuzzy linguistic terms

Author(s)

Isik G. | KAYA I. | Issue Writer Certificate

Keywords

Acceptance sampling plansQ2

intuitionistic fuzzy setsQ2

binomial distributionQ2

fuzzy setsQ2

interval intuitionistic fuzzy setsQ2

poisson distributionQ2

Abstract

Acceptance sampling plans (ASPs) o er inspection of a small set of items from a lot within a prede ned plan to procure a certain output quality level with minimum cost in terms of time, e ort, and damage to the inspected items. Although traditional ASPs use crisp plan parameters, quality characteristics of the incoming items or human evaluations about inspection process may contain uncertainties and may not always be de ned as crisp values in real life problems. The fuzzy set theory (FST) is one of the most popular techniques to model these uncertainties by de ning plan parameters as fuzzy numbers. Despite the advantages, traditional fuzzy sets are not exible enough to model all kinds of uncertainties. For example, it has some disadvantages because of de ning the status of any item based on defectiveness or nondefectiveness conditions and presuming the parts as non-defective whose defectiveness is not indeed determined. New extensions of FST can improve the quality of uncertainty modeling of ASPs. Intuitionistic Fuzzy Sets (IFSs) allow slackness for non-determination about the membership and give more sensitive modeling opportunity in human-related evaluations by the help of this ability. Since the inspection procedure of the ASPs depends on human-related judgements, IFSs have been used to de ne the defectiveness degree of the items in this study. ASPs based on interval-valued IFSs (IVIFSs) have also been designed and some characteristic functions of ASPs, such as acceptance probability (Pa), average sample number (ASN) and average total inspection (ATI) have been reformulated. Intuitionistic binomial and poisson distributions have been de ned to be able to formulate the ASPs. Additionally, the defectiveness of the items has been represented by using linguistic terms to overcome the di culty of quantifying the verbal evaluation results as numerical measures. The -cut technique has been combined with the linguistic approach to allow de ning with multiple values for di erent product segments. Finally, some numerical examples have been presented to analyze the e ectiveness of proposed ASPs and discuss the obtained results.

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APA: Copy

Isik, G., & KAYA, I.. (2021). Design and analysis of acceptance sampling plans based on intuitionistic fuzzy linguistic terms. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(6 ), 101-118. SID. https://sid.ir/paper/413136/en

Vancouver: Copy

Isik G., KAYA I.. Design and analysis of acceptance sampling plans based on intuitionistic fuzzy linguistic terms. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2021;18(6 ):101-118. Available from: https://sid.ir/paper/413136/en

IEEE: Copy

G. Isik, and I. KAYA, “Design and analysis of acceptance sampling plans based on intuitionistic fuzzy linguistic terms,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 6 , pp. 101–118, 2021, [Online]. Available: https://sid.ir/paper/413136/en

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