The concept of intuitionistic fuzzy ideal of an intuitionistic fuzzy lattice is introduced, and its certain characterizations are provided. We defined the quotient (or residual) of ideals of an intuitionistic fuzzy sublattice and studied their properties.

K. V. Thomas

Latha S. Nair

Quotient of Ideals of an Intuitionistic Fuzzy Lattice

We use a translational invariant fuzzy subset <svg style="vertical-align:-2.29482pt;width:7.7624998px;" id="M1" height="9.875" version="1.1" viewBox="0 0 7.7624998 9.875" width="7.7624998"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
		<g transform="translate(72,-64.1)">
			<text transform="matrix(1,0,0,-1,-71.95,66.44)">
				<tspan style="font-size: 12.50px; " x="0" y="0">𝑝</tspan>
			</text>

		</g>
	</g>
</svg> of a ring <svg style="vertical-align:-0.0pt;width:11.6875px;" id="M2" height="10.325" version="1.1" viewBox="0 0 11.6875 10.325" width="11.6875"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
		<g transform="translate(72,-63.74)">
			<text transform="matrix(1,0,0,-1,-71.95,63.79)">
				<tspan style="font-size: 12.50px; " x="0" y="0">𝑅</tspan>
			</text>

		</g>
	</g>
</svg> to define two new types of commutative rings namely, <svg style="vertical-align:-2.29482pt;width:7.7624998px;" id="M3" height="9.875" version="1.1" viewBox="0 0 7.7624998 9.875" width="7.7624998"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
		<g transform="translate(72,-64.1)">
			<text transform="matrix(1,0,0,-1,-71.95,66.44)">
				<tspan style="font-size: 12.50px; " x="0" y="0">𝑝</tspan>
			</text>

		</g>
	</g>
</svg>-presimplifiable and <svg style="vertical-align:-2.29482pt;width:7.7624998px;" id="M4" height="9.875" version="1.1" viewBox="0 0 7.7624998 9.875" width="7.7624998"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
		<g transform="translate(72,-64.1)">
			<text transform="matrix(1,0,0,-1,-71.95,66.44)">
				<tspan style="font-size: 12.50px; " x="0" y="0">𝑝</tspan>
			</text>

		</g>
	</g>
</svg>-associate rings. We present some results of these rings. The interest of these results is that most of them are mirrors of corresponding results of presimplifiable and associate rings in classical ring theory.

Manal Ghanem

Two New Types of  Rings Defined by  Using a Translational Invariant Fuzzy Subset

Instead of  using standard analytical techniques, like Buckley and Qu method, which are not suitable for solving a system of  fuzzy nonlinear equations where the coefficient is fuzzy number, Broyden's method is  proposed for solving fuzzy nonlinear equations. In this paper, an eight-step algorithm is used to solve fuzzy nonlinear equations. Two numerical examples are given to illustrate the proposed method.

Amirah Ramli

Mohd Lazim Abdullah

Mustafa Mamat

Broyden's Method for Solving Fuzzy Nonlinear Equations

We focus on the equity mutual funds offered by three Malaysian banks, namely Public Bank Berhad, CIMB, and Malayan Banking Berhad. The equity mutual funds or equity trust is grouped into four clusters based on their characteristics and categorized as inferior, stable, good performing, and aggressive funds based on their return rates, variance and treynor index. Based on the cluster analysis, the return rates and variance of clusters are represented as triangular fuzzy numbers in order to reflect the uncertainty of financial market. To find the optimal asset allocation in each cluster we develop a hybrid model of optimization and fuzzy based on return rates, variance. This was done by maximizing the fuzzy return for a tolerable fuzzy risk and minimizing the fuzzy risk for a desirable fuzzy return separately at different confidence levels.

Adem K&#305;l&#305;&#231;man

Jaisree Sivalingam

Portfolio Optimization of Equity Mutual Funds&#x02014;Malaysian Case Study

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<p><em>Advances in Fuzzy Systems</em> provides an international forum for original research articles in the theory and applications of fuzzy subsets and systems.</p>


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<p>Chief Editor, Professor Melin, is a professor at the Tijuana Institute of Technology. Her research interests include modular neural networks, type-2 fuzzy logic, pattern recognition, fuzzy control, neuro-fuzzy and genetic-fuzzy hybrid approaches.</p>


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Advances in Fuzzy Systems - Table of contents 2010

title

Advances in Fuzzy Systems provides an international forum for original research articles in the theory and applications of fuzzy subsets and systems.

Advances in Fuzzy Systems

Table of Contents

Table of Contents: 2010

Quotient of Ideals of an Intuitionistic Fuzzy Lattice

Two New Types of Rings Defined by Using a Translational Invariant Fuzzy Subset

Broyden's Method for Solving Fuzzy Nonlinear Equations

Portfolio Optimization of Equity Mutual Funds—Malaysian Case Study