Mathematical fuzzy logic as a tool for the treatment of vague information

Gottwald, Siegfried

doi:10.1016/j.ins.2005.02.004

Cited by 36 publications

(26 citation statements)

References 50 publications

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“…This theory can afford to Health Scope. 2015;4(1):e19383 figure a multitude of uncertain and vague concepts, variables, and systems, into mathematical and natural forms and obtain the basis for ratiocinating, controlling and decision making in an uncertain situation (30,31). All maps were standardized by the appropriate fuzzy membership functions (Table 2).…”

Section: Resultsmentioning

confidence: 99%

Convenient Landfill Site Selection by Using Fuzzy Logic and Geographic Information Systems: A Case Study in Bardaskan, East of Iran

et al. 2015

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Background: Due to burgeoning population, solid waste site selection is one of the most crucial issues in waste management system. Regarding the complexity of waste management systems, the convenient solid waste site selection involves considering multiple alternative solutions and assessing different criteria. Objectives: The current study, aimed to select the fuzzy logic method as one of the most popular approaches in multi criteria decision analysis (MCDA) to find a new sanitary landfill site through considering various criteria in Bardaskan city, Iran. Materials and Methods: Nine types of criteria divided into two main groups of ecological and economical criteria were involved to select the most convenient landfill site. A model based on the multi criteria evaluation techniques and combination of geographical information systems (GIS) with fuzzy logic was employed. The ESRI Arc GIS 10 term system was utilized to manipulate and present spatial data. The fuzzy AND operator was used to overlay all standardized maps. Results:The results of the current research proposed five locations with the fuzzy membership value of more than 0.9 as the best landfill sites in the study area. The sites were located in the North and North East of Bardaskan city. The study demonstrated that 51.97 % of the study area was not suitable for landfill location whilst only 7.8 % was highly suitable for landfill siting. About 1956.61 hectares of the studied area was suitable for territorial landfill siting. Conclusions:The study results guided the municipality authorities to select the best landfill site among the candidate ones, and due to the broad spectrum of classifications, the output results can enable decision makers to make appropriate decisions to reduce the costs both in economical and bioenvironmental criteria.

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Section: Resultsmentioning

confidence: 99%

Convenient Landfill Site Selection by Using Fuzzy Logic and Geographic Information Systems: A Case Study in Bardaskan, East of Iran

et al. 2015

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“…In particular, adaptations could be proposed to revise knowledge expressed in other formalisms than production rules. In this context, proposing a specific approach for knowledge expressed by fuzzy logic based on this logic mathematical properties (see [46]) could be particularly interesting.…”

Section: Resultsmentioning

confidence: 99%

Automatic revision of the control knowledge used by trial and error methods: Application to cartographic generalisation

Taillandier¹,

Duchêne²,

Drogoul³

2011

Applied Soft Computing

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“…Below, we recall the definitions of these concepts, along with some other important notions. We refer to [4], [12] and [16] for a comprehensive overview of these and other logics. All these extensions of ML satisfy the following local deduction theorem:…”

Section: Preliminariesmentioning

confidence: 99%

“…Proposition 22 Let (L, , , * , ⇒, ∆, 0, 1) be an ML ∆ -algebra 16 . Then ∆∆x = ∆x and ∆(x * y) = ∆x * ∆y = ∆x ∆y = ∆(x y), for all x and y in L.…”

Section: The Expansion Of Ivml and Its Axiomatic Extensions With Baazmentioning

confidence: 99%

The standard completeness of interval-valued monoidal t-norm based logic

Gasse

Cornelis

Deschrijver

et al. 2012

Information Sciences

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In this paper we prove the strong standard completeness of interval-valued monoidal t-norm based logic (IVMTL) and some of its extensions. For other extensions we show that they are not strong standard complete. We also give a local deduction theorem for IVMTL and other extensions of interval-valued monoidal logic. Similar results are obtained for interval-valued fuzzy logics expanded with Baaz's Delta.

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Mathematical fuzzy logic as a tool for the treatment of vague information

Cited by 36 publications

References 50 publications

Convenient Landfill Site Selection by Using Fuzzy Logic and Geographic Information Systems: A Case Study in Bardaskan, East of Iran

Convenient Landfill Site Selection by Using Fuzzy Logic and Geographic Information Systems: A Case Study in Bardaskan, East of Iran

Automatic revision of the control knowledge used by trial and error methods: Application to cartographic generalisation

The standard completeness of interval-valued monoidal t-norm based logic

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