Results 11 to 20 of about 466 (158)

A Brief Analysis and Interpretation on Arithmetic Operations of Fuzzy Numbers

open access: yesResults in Control and Optimization, 2023
Fuzzy set theory is a generalized form of crisp set theory where elements are binary inclusion forms. In fuzzy set, it differs with degree of membership for every element in the set. There are several strategies for arithmetic operations on fuzzy numbers.
Asesh Kumar Mukherjee   +4 more
doaj   +3 more sources

Multidimensional Type 2 Epistemic Fuzzy Arithmetic Based on the Body Definition of the Type 2 Fuzzy Set

open access: yesApplied Sciences, 2021
The article presents a multidimensional type 2 epistemic fuzzy arithmetic (MT2EF-arithmetic) based on the new body definition of fuzzy set type 2 (T2FS), which in the authors’ opinion, is more suitable for fuzzy computing than the current versions of ...
Andrzej Piegat, Marek Landowski
doaj   +3 more sources

Fuzzy arithmetic in economic research [PDF]

open access: yesSHS Web of Conferences, 2021
Many tasks in economic research are based on arithmetic calculations of indicators that reflect the state of economic development. The general incompleteness of publicly available data, designed to solve such problems, has led to the emergence of ...
Gorbatiuk Kateryna   +3 more
doaj   +1 more source

The Arithmetic Operator of Fuzzy Regular Prismoid Numbers and Its Application to Fuzzy Risk Analysis

open access: yesInternational Journal of Computational Intelligence Systems, 2021
We devote to study the arithmetic operator of fuzzy regular prismoid numbers as well as the degree of similarity between fuzzy regular prismoid numbers, and then the arithmetic operator and the degree of similarity are applied in risk analysis.
Shexiang Hai
doaj   +1 more source

Interval Ranges of Fuzzy Sets Induced by Arithmetic Operations Using Gradual Numbers

open access: yesMathematics, 2021
Wu introduced the interval range of fuzzy sets. Based on this, he defined a kind of arithmetic of fuzzy sets using a gradual number and gradual sets. From the point of view of soft computing, this definition provides a new way of handling the arithmetic ...
Qingsong Mao, Huan Huang
doaj   +1 more source

Some picture fuzzy mean operators and their applications in decision-making [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2022
Picture fuzzy set is the generalization of fuzzy set and intuitionistic fuzzy set. It is useful for handling uncertainty by considering the positive membership, neutral membership and negative membership degrees independently for each element of a ...
Hasan Mohammad Kamrul   +3 more
doaj   +1 more source

Arithmetic Fuzzy Models [PDF]

open access: yesIEEE Transactions on Fuzzy Systems, 2010
It is well known that a fuzzy rule base can be interpreted in different ways. From a logical point of view, the conjunctive interpretation is preferred, while from a practical point of view, the disjunctive interpretation has been dominantly present.
Martin Stepnicka   +2 more
openaire   +1 more source

Arithmetic Operations of Generalized Triangular Picture Fuzzy Numbers with Applications

open access: yesFuzzy Optimization and Modeling, 2023
Picture fuzzy set is the generalization of intuitionistic fuzzy set as well as the fuzzy set considering the positive, neutral and negative membership functions of an element.
Mohammad Hasan   +2 more
doaj   +1 more source

Proposing a new approach for solving intuitionistic fuzzy linear programming problem with non-symmetric parameters [PDF]

open access: yesتصمیم گیری و تحقیق در عملیات, 2021
In this paper, we deal with a linear programming problem with non-symmetric trapezoidal intuitionistic fuzzy numbers. In recent years, many authors have studied the symmetric trapezoidal intuitionistic fuzzy numbers. After defining a ranking function and
Morteza Goli   +2 more
doaj   +1 more source

Multidimensional solution of fuzzy linear programming [PDF]

open access: yesPeerJ Computer Science, 2023
There are several approaches to address fuzzy linear programming problems (FLPP). However, due to using standard interval arithmetic (SIA), these methods have some limitations and are not complete solutions.
Seyyed Ahmad Edalatpanah
doaj   +2 more sources

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