Showing papers in "New Mathematics and Natural Computation in 2021"
TL;DR: The effectiveness and efficiency of the approaches are illustrated by solving several practical examples such as Newton’s law of cooling, the mathematical models for the distribution of a drug in the human body and the fuzzy forced harmonic oscillator problem.
Abstract: This paper is devoted to obtain an analytical solution for first-order fuzzy differential equations and system of fuzzy differential equations by different methods by considering the type of genera...
10 citations
6 citations
TL;DR: The notions of double-framesed soft hyper BCK-algebra and double-framed soft (strong) hyperBCK-ideal of a hyper BCk-al algebra are introduced, and related properties are investigated.
Abstract: The notions of double-framed soft hyper BCK-algebra and double-framed soft (strong) hyper BCK-ideal of a hyper BCK-algebra are introduced, and related properties are investigated. Characterizations...
5 citations
TL;DR: The concept of pumping lemma for [Formula: see text]-valued multiset automata theory is presented, which is utilize to give a necessary and sufficient condition for a non-constant language to be non- constant.
Abstract: The reason for this work is to present and study deterministic multiset automata, multiset automata and their languages with membership values in complete residuated lattice without zero divisors. ...
5 citations
TL;DR: This paper proposes the new fuzzy arithmetic operations based on transmission average(TA) on LR type flat fuzzy numbers, and suggests an imprecise failure to start of an automobile is considered in fuzzy environment.
Abstract: In this paper, we analyze the reliability of fuzzy system (particularly, series and parallel system) with independent and non-identically distributed components using the new operations of TA [F. A...
4 citations
TL;DR: The existence of initial and final objects in the subcategory of category of deterministic lattice-valued fuzzy automata is shown and it is shown that there is an adjunction between the category of Deterministic lattices-valued and quantale-valued fuzziest automata.
Abstract: Automata and languages have been studied in the context of different lattice structures by several authors This paper is toward the categorical study of deterministic lattice-valued (L-valued) fuz
3 citations
TL;DR: Fuzzy Stochastic Timed Petri Nets is introduced as a graphical tool able to represent time, co-occurrence, looping and imprecision in causal flow.
Abstract: Imagery is frequently used to model, represent and communicate knowledge. In particular, graphs are one of the most powerful tools, being able to represent relations between objects. Causal relatio...
2 citations
TL;DR: A sophisticated ranking method based on the concept of the exponential area of the fuzzy numbers which has been applied in medical decision making problem and the results obtained by the approach absolutely conform with analytical results and human intuitions.
Abstract: Uncertainty is an unavoidable components of decision making process. The ranking of fuzzy numbers which deals with such uncertainties play again a significant role in the process. Fuzzy numbers mus...
2 citations
TL;DR: The proposed method is a hybrid method based on the corrected fractional Euler’s method and the probability distribution function that can arbitrarily approximate the fractional differential equations with [Formula: see text]-valuation.
Abstract: In this paper, at first, we introduce fractional differential equations with Z-valuation. Then, we propose a numerical method to approximate the solution. The proposed method is a hybrid method bas...
2 citations
2 citations
TL;DR: The intra-regularity of ordered semigroups characterizes in terms of [Formula: see text]-fuzzy prime ideals and their lower parts and its associated properties are studied.
Abstract: In this paper, we first introduce and characterize (∈,∈∨(κ∗,q κ))-fuzzy prime subset of the ordered semigroups. Then the (κ∗,κ)-lower part of the (∈,∈∨(κ∗,q κ))-fuzzy prime subset is defined and it...
TL;DR: In this article, a new theory termed Soft Logic is proposed, which addresses the need to combine real processes and cognitive ones in the same framework, and at the same time develops a new conce...
Abstract: In this paper, we develop a new theory termed Soft Logic. This theory addresses the need to combine real processes and cognitive ones in the same framework. At the same time, we develop a new conce...
TL;DR: In the present paper, notion of a convex soft set in an ordered semigroup is introduced, and its basic properties are investigated and its characterization is considered.
Abstract: In the present paper, we introduce some new notions on ordered semigroup. In fact, notion of a convex soft set in an ordered semigroup is introduced, and its basic properties are investigated. More...
TL;DR: The complex uncertain sequence space related to the formula space of almost surely, in measure, in mean, in distribution and uniformly almost surely is introduced.
Abstract: The aim of this paper is to introduce the complex uncertain sequence space m(ϕ, Γ) related to the lp(Γ) space. We have introduced the space m(ϕ, Γ) of almost surely, in measure, in mean, in distrib...
TL;DR: From the simulation and implementation, the proposed fuzzy autoregressive model is a competent approach for upper and lower forecasts and the smaller mean square error and average width if compared with the ordinary autore progressive model.
Abstract: The symmetry triangular fuzzy number has been developed to build fuzzy autoregressive models by using various approaches such as low-high data, integer number, measurement error, and standard devia...
TL;DR: It is shown that FCONVGRP is topological, and more importantly, it enables us to obtain a compatible fuzzy convergence function space structure on group of homeomorphisms, as well as two pertinent characterization theorems on fuzzy convergence groups.
Abstract: We introduce a category of fuzzy convergence groups, FCONVGRP a subcategory of the category of fuzzy convergence spaces, FCONV. Viewing I as a complete Heyting algebra, we prove that the category o...
TL;DR: In this article, the authors investigate the problem of defining Γ-nearness semiring in the sense of Nobusawa theory which extends the notion of a nearness rings, nearness semirings and Γ -rings [N. Nobus...
Abstract: In this study, we investigate the problem of how to define Γ-nearness semiring in the sense of Nobusawa theory which extends the notion of a nearness rings, nearness semirings and Γ-rings [N. Nobus...
TL;DR: This work applies the bicategory-theoretic concepts in formation of minimal fuzzy realization for a given fuzzy behavior using the concept of derivative of fuzzy behavior.
Abstract: This work applies the bicategory-theoretic concepts in formation of minimal fuzzy realization for a given fuzzy behavior. The concept of derivative of fuzzy behavior is used for such construction.
TL;DR: A new fuzzy strongly regular equivalence on fuzzy hyperrings such that the set of the quotient is a ring that is non-commutative.
Abstract: Fundamental relation performs an important role on fuzzy algebraic hyperstructure and is considered as the smallest equivalence relation such that the quotient is a universal algebra In this paper
TL;DR: Stability conditions of Presic type fuzzy set-valued maps are introduced and global attractivity result for a class of nonlinear matrix difference equations is also obtained as one of the applications of the results.
Abstract: In this paper, two renowned fixed point results which belong to Presic and Heilpern in the context of metric and fuzzy fixed point theory are revisited. To this end, we initiate the study of Heilpe...
TL;DR: A solution scheme for a class of Fuzzy Fractional Optimal Control Problems (FFOCPs) in Caputo sense is presented using the Legendre basis functions and results show that both the state and control variables converge at the end of the intended interval.
Abstract: In this paper, a solution scheme for a class of Fuzzy Fractional Optimal Control Problems (FFOCPs) in Caputo sense is presented using the Legendre basis functions. The control variable will be foun...
TL;DR: To obtain the solution of Riccati fuzzy differential equations (RFDEs), the FDEs are studied using the concept of generalized [Formula: see text]-differentiability.
Abstract: In this paper, a method for solving Riccati fuzzy differential equations is studied in great detail. To obtain the solution of Riccati fuzzy differential equations (RFDEs), we study the fuzzy diffe...
TL;DR: This paper defines the fuzzy case of ordering and logical operations in the Algebraic System of Aggregates (ASA), which operates with complex data structures called aggregates.
Abstract: In this paper, we present fuzzy data processing based on the Algebraic System of Aggregates (ASA) which operates with complex data structures called aggregates. An aggregate is a tuple of arbitrary...
TL;DR: The main focus of this paper is develop of the fuzzy double Laplace transform to solve a fuzzy wave equation, which can be solved without converting it to two crisp equations.
Abstract: The main focus of this paper is develop of the fuzzy double Laplace transform to solve a fuzzy wave equation. In this scheme, a fuzzy wave equation can be solved without converting it to two crisp ...
TL;DR: A notion of pseudovectorspace is introduced and used to establish a generalization of the Wold decomposition theorem that works for interval-valued covariance stationary time series processes.
Abstract: The main purpose of this work is to contribute to the study of set-valued random variables by providing a kind of Wold decomposition theorem for interval-valued processes. As the set of set-valued ...
TL;DR: A maiden attempt to swot up decision making for MIs using arithmetic of triangular generalized interval-valued fuzzy numbers (TGIVFNs) and it is observed that the proposed approach provides a way to perform MI in an explicit demeanor which presents acceptable consequences in comparison to classical techniques.
Abstract: Real world problems are often ill defined due to uncertainty caused mainly by the deficiency of precision and data, diminutive sample sizes or data acquired from specialist opinions, artificial/man...
TL;DR: The goal of this contribution is to propose [Formula: see text]-valued Transforms, which are essentially the many-valued generalizations of the notion of lattice-valued [formula:see text]-transforms.
Abstract: The goal of this contribution is to propose LM-valued F-transforms, which are essentially the many-valued generalizations of the notion of lattice-valued F-transforms. Further, we associate the con...
TL;DR: In this paper, the concept of fuzzy n-fold filters in EQ-algebras is defined and several results and relation among them are investigated, including positive implicative, implicative and implicative fantastic filters.
Abstract: In this paper, the concept of fuzzy n-fold (positive implicative, implicative, fantastic) filters in EQ-algebras is defined and several results and relation among them are investigated. Then n-fold...