Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of L-fuzzy mathematical morphology [PDF]
, 2011 Mathematical morphology (MM) offers a wide range of tools for image processing and computer vision. MM was originally conceived for the processing of binary images and later extended to gray-scale morphology.
Deschrijver, Glad +5 more
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Resolution in Linguistic Propositional Logic based on Linear Symmetrical Hedge Algebra [PDF]
, 2013 The paper introduces a propositional linguistic logic that serves as the basis for automated uncertain reasoning with linguistic information. First, we build a linguistic logic system with truth value domain based on a linear symmetrical hedge algebra ...
C.-H. Nguyen +13 more
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S-Implications on Complete Lattices and the Interval Constructor
Trends in Computational and Applied Mathematics, 2008 The aim of this work is to present an approach of interval fuzzy logic based on complete lattices. In particular, we study the extensions of the notions of t-conorms, fuzzy negations and S-implication, from the unit interval to arbitrary complete ...
R.H.S. Reiser +4 more
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Robustness on Intuitionistic Fuzzy Connectives
TEMA (São Carlos), 2014 <p><!--StartFragment-->The main contribution of this paper is concerned with the robustness of intuitionistic fuzzy connectives in fuzzy reasoning. Starting with an evaluation of the sensitivity in $n$-order functions on the class of intuitionistic fuzzy sets, we apply the results in the intuitionistic $(S,N)$-implication class.
Reiser, R.H.S., Bedregal, B.
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The creation of three logical connectors to reapprove how comprehensive and effective the Neutrosophic logic is compared to the fuzzy logic and the classical logic [PDF]
Neutrosophic Sets and Systems, 2018 The main objective of this research is a simple attempt to suggest three new logical connectors and establish an equation a chart of truth for each of them.
Salah Bouzina, Djamel Hamoud
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On the Generalized Cross-Law of Importation in Fuzzy Logic
Mathematics, 2020 Recently, Baczyński et al. introduced two pexider-type generalisations of the law of importation in fuzzy logic, i.e., I(C(x, α), y)=I(x, J(α, y) (GLI) and I(C(x, α), y)=J(x, I(α, y) (CLI), where C is a fuzzy conjunction and I, J are fuzzy implications ...
Yifan Zhao, Kai Li
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Open Mathematics, 2019 The main goal of this paper is to introduce the notion of stabilizers in EQ-algebras and develop stabilizer theory in EQ-algebras. In the paper, we introduce (fuzzy) left and right stabilizers and investigate some related properties of them.
Cheng Xiao Yun +3 more
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Multi-fuzzy Rough Sets based on Implicators and Continuous t-norms
Fuzzy Information and Engineering, 2017 This paper extends the study of multi-fuzzy rough sets using an implicator and a continuous t-norm and thus introduces multi-fuzzy rough sets based on fuzzy logical connectives.
Gayathri Varma, Sunil Jacob John
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Extensions of fuzzy connectives on ACDL [PDF]
Kybernetika, 2019 Summary: The main goal of this paper is to construct fuzzy connectives on algebraic completely distributive lattice (ACDL) by means of extending fuzzy connectives on the set of completely join-prime elements or on the set of completely meet-prime elements, and discuss some properties of the new fuzzy connectives.
Liu, Hui, Zhao, Bin
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The problem of artificial precision in theories of vagueness: a note on the role of maximal consistency [PDF]
, 2013 The problem of artificial precision is a major objection to any theory of vagueness based on real numbers as degrees of truth. Suppose you are willing to admit that, under sufficiently specified circumstances, a predication of "is red" receives a unique,
Marra, Vincenzo
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