Some Results on Fuzzy ω-Covering Dimension Function in Fuzzy Topological Space

The purpose of this paper is to study a new class of fuzzy covering dimension functions, called fuzzy

GBUO: “The Good, the Bad, and the Ugly” Optimizer

Optimization problems in various fields of science and engineering should be solved using appropriate methods. Stochastic search-based optimization algorithms are a widely used approach for solving optimization problems. In this paper, a new optimization algorithm called “the good, the bad, and the ugly” optimizer (GBUO) is introduced, based on the effect of three members of the population on the population updates. In the proposed GBUO, the algorithm population moves towards the good member and avoids the bad member. In the proposed algorithm, a new member called ugly member is also introduced, which plays an essential role in updating the population. In a challenging move, the ugly member leads the population to situations contrary to society’s movement. GBUO is mathematically modeled, and its equations are presented. GBUO is implemented on a set of twenty-three standard objective functions to evaluate the proposed optimizer’s performance for solving optimization problems. The mentioned standard objective functions can be classified into three groups: unimodal, multimodal with high-dimension, and multimodal with fixed dimension functions. There was a further analysis carried-out for eight well-known optimization algorithms. The simulation results show that the proposed algorithm has a good performance in solving different optimization problems models and is superior to the mentioned optimization algorithms.

Women’s Poetry that Heals across Borders: A Trans-American Reading of the Body, Sexuality, and Love

Drawing on the idea of literature as healing (Wilentz), this article examines the anti-dualistic restoring defense of the body, sexuality, and love in Angelou (African American), Cisneros (Chicana), and Peri Rossi (Uruguayan Spanish). My trans-American comparative reading seeks to transcend frontiers and join the poets’ efforts to demolish racist, (hetero) sexist, and other prejudices. The authors insist on the body and emotions as providing reliable sources of knowledge; they propose that women can cure themselves by loving their bodies, poetry can close up the wounds of sexist violence, and respect for lesboeroticism can heal intolerant communities. While celebrating the female, the poetic personae embrace non-binary positions that defy sexual and gender stereotypes; moreover, their poems’ cross-cultural and multi-tonal dimension functions as a bridge among people. In sum, the poetry of Angelou, Cisneros, and Peri Rossi has the power to cross borders and heal the world.

KRULL DIMENSION IN MODAL LOGIC

We develop the theory of Krull dimension forS4-algebras and Heyting algebras. This leads to the concept of modal Krull dimension for topological spaces. We compare modal Krull dimension to other well-known dimension functions, and show that it can detect differences between topological spaces that Krull dimension is unable to detect. We prove that for aT1-space to have a finite modal Krull dimension can be described by an appropriate generalization of the well-known concept of a nodec space. This, in turn, can be described by modal formulaszemnwhich generalize the well-known Zeman formulazem. We show that the modal logicS4.Zn:=S4+ zemnis the basic modal logic ofT1-spaces of modal Krull dimension ≤n, and we construct a countable dense-in-itselfω-resolvable Tychonoff spaceZnof modal Krull dimensionnsuch thatS4.Znis complete with respect toZn. This yields a version of the McKinsey-Tarski theorem forS4.Zn. We also show that no logic in the interval [S4n+1S4.Zn) is complete with respect to any class ofT1-spaces.