On n-dimensional strict fuzzy negations

Mezzomo, Ivan; Bedregal, Benjamín R. C.; Reiser, Renata; Bustince, Humberto; Paternain, Daniel

doi:10.1109/fuzz-ieee.2016.7737701

Cited by 13 publications

(6 citation statements)

References 10 publications

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“…Generally, there are two main techniques to extract fucoxanthin, namely liquid solvent extraction (conventional), and supercritical carbon dioxide (SC-CO2), usually use CO2 as a co-solvent (nonconventional) [98][99][100]. In the liquid solvent extraction with organic solvents, the recovery of solvent is a crucial period, mainly because of the environmental and economic problems.…”

Section: Fucoxanthin Extractionmentioning

confidence: 99%

Fucoxanthin, A Xanthophyll from Macro- and Microalgae: Extraction Techniques, Bioactivities and Their Potential Application in Nutra- and Cosmeceutical Industries

Noviendri

Fithriani

Hasrini³

2021

E3S Web Conf.

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Some works of literature reported that fucoxanthin has diverse potential benefits for human health. Thus, this review would explain the sources of fucoxanthin, extraction techniques, bioactivities, and its potential application in Nutra- and cosmeceutical industries. Brown algae, such as Padina australis, Undaria pinnatifida; and the microalgae, such as Chaetoceros gracilis, Phaeodactylum tricornutum were sources of fucoxanthin. Then, the chemical structure of this xanthophyll is unique and that confers its biological activities. And then, the extraction process of fucoxanthin from macro- and microalgae is more safe, accessible, and economic, although this xanthophyll can be synthesized chemically. Generally, there are two techniques for the extraction of fucoxanthin, namely liquid solvent (conventional), and supercritical carbon dioxide (non-conventional) extractions. Furthermore, there are some bioactivities of fucoxanthin, including its activities of anticancer, antidiabetic, antiobesity, antioxidant; protective effects of skin, bone, and eyes. Based on in vivo assay of the animal, it has no adverse effects of fucoxanthin supplementation. Therefore, this xanthophyll might be applied in both the Nutra- and cosmeceutical industries. In the future, fucoxanthin and its derivatives would be important for human health, contributing to the beauty industry, and playing an important in the prevention of cancer and the disease related to lifestyle.

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Section: Fucoxanthin Extractionmentioning

confidence: 99%

Fucoxanthin, A Xanthophyll from Macro- and Microalgae: Extraction Techniques, Bioactivities and Their Potential Application in Nutra- and Cosmeceutical Industries

Noviendri

Fithriani

Hasrini³

2021

E3S Web Conf.

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“…A function

is an n -dimensional interval fuzzy negation ( n -DN) if it satisfies the following properties:

01

and

10

;

2 If

then

, for all

. Based on [31] , an n -DN

is strict if it is a continuous function 2 verifying the strict inequality:

3(a)

when

. Additionally,

is a strong n -DN if

verifies the involutive property:

.…”

Section: Fuzzy Negations Onmentioning

confidence: 99%

“…In particular, if

is a representable n -DN then

are their representants [15] . Observe that a representable n -DN

is strict if and only if their representants are strict fuzzy negations [31, Propositions 4.2 and 4.3] .…”

Section: Fuzzy Negations Onmentioning

confidence: 99%

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n-Dimensional (S,N)-implications

Zanotelli

Reiser

Bedregal

2020

International Journal of Approximate Reasoning

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The n -dimensional fuzzy logic ( n -DFL) has been contributed to overcome the insufficiency of traditional fuzzy logic in modeling imperfect and imprecise information, coming from different opinions of many experts by considering the possibility to model not only ordered but also repeated membership degrees. Thus, n -DFL provides a consolidated logical strategy for applied technologies since the ordered evaluations provided by decision makers impact not only by selecting the best solutions for a decision making problem, but also by enabling their comparisons. In such context, this paper studies the n -dimensional fuzzy implications ( n -DI) following distinct approaches: (i) analytical studies, presenting the most desirable properties as neutrality, ordering, (contra-)symmetry, exchange and identity principles, discussing their interrelations and exemplifications; (ii) algebraic aspects mainly related to left- and right-continuity of representable n -dimensional fuzzy t-conorms; and (iii) generating n -DI from existing fuzzy implications. As the most relevant contribution, the prospective studies in the class of n -dimensional interval (S,N)-implications include results obtained from t-representable n -dimensional conorms and involutive n -dimensional fuzzy negations. And, these theoretical results are applied to model approximate reasoning of inference schemes, dealing with based-rule in n -dimensional interval fuzzy systems. A synthetic case-study illustrates the solution for a decision-making problem in medical diagnoses.

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“…On n-dimensional strict fuzzy negations [20] Investigate the class of representable n-dimensional strict fuzzy negations.…”

Section: Dmpmentioning

confidence: 99%