Robustness of general Triple I method for fuzzy soft sets

Wang, Lu; Qin, Keyun

doi:10.2991/ijcis.11.1.84

Cited by 9 publications

(3 citation statements)

References 24 publications

(29 reference statements)

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“…Hence fuzzy logic (Hajek 1998;Wang 2006), probability logic (Adams 1998), rough logic (Pawlak 1991), quantitative logic (Wang 2009), attribute logic (Ganter et al 1999;) and other non-classical logic (Wang 2006) are widely studied. In the study of fuzzy reasoning, Wang (1999) improved the CRI method of fuzzy reasoning and proposed the full implication triple I method of fuzzy reasoning, which has been developed by many researchers, e.g., Song (2000), Qin (2017), Wang (2018) and others.…”

Section: Introductionmentioning

confidence: 99%

Some methods for dynamically generating decision implications

Zhang,

2023

Preprint

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This paper focuses on generating decision implications and concept rules by approximate reasoning in a formal context. Firstly, the solutions of generalized modus ponens (GMP for short) and generalized modus tonens (GMT for short) based on full implication triple inference method are given, the MP approximate reasoning and MT approximate reasoning of decision implications based on GMP and GMT in decision context are proposed. An approximate reasoning method based on the attribute logic pseudo-metric is introduced, and the relation between pseudo-metric approximate reasoning and MP, MT approximate reasoning is discussed. Thirdly, the properties of MP and MT approximate reasoning of decision implications and concept rules are discussed, and it is proved that: (i) the conclusion of MP and MT approximate reasoning of decision implications are decision implications, and (ii) the conclusion of MP and MT approximate reasoning of concept rules are concept rules. Fourthly, some generation methods and algorithms of decision implications and concept rules based on MP and MT approximate reasoning are proposed. Finally, examples and experiments are given to show that the methods and algorithms are valid.

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Section: Introductionmentioning

confidence: 99%

Some methods for dynamically generating decision implications

Zhang,

2023

Preprint

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“…During the past few years, many studies on the relationships among different mathematical models that can be used to handle uncertainty have been done [4,12,22,36]. In addition, various hybrid soft set models have been proposed by combining soft set theory with other models such as fuzzy sets and rough sets [20].…”

Section: Introductionmentioning

confidence: 99%

Intertemporal Hesitant Fuzzy Soft Sets: Application to Group Decision Making

Liu

Alcantud

Rodríguez

et al. 2020

Int. J. Fuzzy Syst.

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A novel hybrid soft set model called intertemporal hesitant fuzzy soft set is proposed, and then, it is showed how it can deal with group decision making problems. This model can be used to incorporate hesitant information that varies across time, when the alternatives are described by their degree of agreement with various characteristics. According to the period of time (whether it is indefinitely long or with a known termination date), the proposed model is, respectively, called long-term and short-term intertemporal hesitant fuzzy soft set. Corresponding group decision making approaches are provided, where the application of Quasi-Hyperbolic discounting permits to deal with the time-inconsistent experts' preferences. Both the effect of scores of hesitant fuzzy elements and the effect of uncertainty contained in hesitant information are considered in the proposed decision approaches.

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“…Defects and doping in materials are widely and extensively studied in materials science and nanotechnology . For ferroelectrics, the manipulation of native defects within the material affects properties greatly and can also be used to engineer hysteresis loop features .…”

Section: Introductionmentioning

confidence: 99%

Nanoscale Defect Engineering and the Resulting Effects on Domain Wall Dynamics in Ferroelectric Thin Films

McGilly

Sandu

Feigl

et al. 2017

Adv Funct Materials

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Defect engineering is one of the cornerstones of the modern electronics industry. Almost all electronic devices include materials that have been doped by ion bombardment. For materials where crystallinity is essential, such as ferroelectrics, defect type and concentration can vastly influence properties and are often used to optimize device performance. This study shows a method to effectively control the density and position on the nanoscale of defect sites in thin films of Pb(Zr,Ti)O3 via focused ion beam microscopy. This allows for exceptional clarity of observation of the role of defects in nucleation, polarization switching, and domain wall interaction through investigation with piezoresponse force microscopy and transmission electron microscopy, adding insight to accepted but seldom‐demonstrated facts on defect‐induced effects. This nanoscale defect engineering can be used as a tool to control material properties, and furthermore, a route is demonstrated toward a practical application.

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Robustness of general Triple I method for fuzzy soft sets

Cited by 9 publications

References 24 publications

Some methods for dynamically generating decision implications

Some methods for dynamically generating decision implications

Intertemporal Hesitant Fuzzy Soft Sets: Application to Group Decision Making

Nanoscale Defect Engineering and the Resulting Effects on Domain Wall Dynamics in Ferroelectric Thin Films

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